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Development of Numerical Methods for Dynamics of Interfaces and its Applications to Experiments in Science and Engineering

Research Project

Project/Area Number 13440038
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOsaka Institute of Technology

Principal Investigator

TOMOEDA Kenji  Osaka Institute of Technology, Faculty of Engineering, Professor, 工学部, 教授 (60033916)

Co-Investigator(Kenkyū-buntansha) KAWAGUCHI Masami  Mie University, Faculty of Engineering, Professor, 工学部, 教授 (30093123)
山口 智彦  産業技術総合研究所, ナノテクノロジー研究部門, グループ長
MIMURA Masayasu  Hiroshima University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (50068128)
GIGA Yoshikazu  Hokkoido University, Graduate School of Science, Professor, 大学院・理学研究科, 教授 (70144110)
TABATA Masahisa  Kyushu University, Department of Mathematical Sciences, Professor, 大学院・数理学研究院, 教授 (30093272)
IKEDA Tsutomu  Ryukoku University, Faculty of Science and Technology, Professor (50151296)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥14,400,000 (Direct Cost: ¥14,400,000)
Fiscal Year 2003: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2002: ¥4,400,000 (Direct Cost: ¥4,400,000)
Fiscal Year 2001: ¥6,800,000 (Direct Cost: ¥6,800,000)
KeywordsFree boundary / Belousov-Zhabotinsky / Viscous fingering / Level set approach / Proper viscosity solutions / Support splitting phenomena / Singular limit method / Helical waves / ベル-ソフ・ザボチンスキ-反応 / サポートの分裂と再融合 / 反応拡散 / 渦の相互作用 / サポート分離現象 / 電気流体問題 / 特性有限要素法 / 結晶成長 / ベルグ効果 / 浸透領域の分離・非分離現象 / 非圧縮電気流体 / 無限制度数値シミュレーション
Research Abstract

We obtained several results, which are concerned with the following representative phenomena of inter-faces : "Belousov-Zhabotinsky reaction", "Viscous fingering" and "Behavior of support in an absorbingmedium".
1)"Singular limit method", "Bifurcation theory", "Proper viscosity solutions" and "Level set method"are developed and enable us to analyze the mechanism of the appearance of such phenomena. For example, the appearance of a travelling wave and a helical wave, and the global existence of the solution of the model equation describing some bunching phenomena observed in the epitaxial growth of crystals.
2)A difference scheme based on the singular limit method is constructed and enables us to compute the 3-dimensional Stefan problem numerically.
3)The growth of finger patterns can be interpreted by taking into account the non-linearity in the rheological properties ; that is, it becomes easy to construct the mathematical model.
4)A numerical method which realizes the behavior of the support of the flow through an absorbing medium is developed, and the support splitting and non-splitting phenomena are justified by the mathematical analysis.
5)A numerical method with the multiple precision arithmetic for tracking the level set is constructed, and can capture the travelling wave solutions.
6)A finite element method with error estimates and a domain decomposition method are constructed, and enable us to realize the dynamical behavior of the cerebrospinal fluid and the Earth's mantle convection, which are unable to be observed directly. Furthermore, a high-performance domain decomposition method is proposed for the parallel finite element analysis using meshless virtual nodes along the domain interface.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (317 results)

All Other

All Publications (317 results)

  • [Publications] T.Nakai, K.Tomoeda: "A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption"Proc.Japan Acad., Ser.A. 77. 32-37 (2001)

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  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference scheme for some nonlinear diffusion equations in an absorbing medium : support splitting phenomena"SIAM J.Numer.Anal.. 40-3. 945-964 (2002)

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  • [Publications] K.Tomoeda: "Numerical approach to support splitting phenomena in some diffusion equations with strong absorption"Proceedings of Fifth China-Japan Seminar on Numerical Mathematics, Edited by Zhong-Ci Shi and Hideo Kawarada, Siences Press. 211-219 (2002)

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  • [Publications] K.Matsuoka, K.Tomoeda: "Numerical computations to pulse splitting phenomena in the thermal waves through an absorbing medium"Journal of computational and Applied Mathematics. 152/1-2. 319-332 (2003)

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  • [Publications] K.Tomoeda: "The behavior of impulsively initiated thermal waves in an absorbing medium"dynamics of Continuous, discrete and Impulsive Systems, Series B : Applications and Alogorithm. 10. 151-164 (2003)

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  • [Publications] K.Tomoeda: "Support splitting phenomena of the solution to the porous media equation with absorption"Progress in analysis, Proceedings of the 3rd International ISAAC Congress, 20-25 August 2001, Editors : Heinrich G W Begehr, Robert Pertsch Gilbert and Man Wah Wong. vol.II. 1107-1116 (2003)

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  • [Publications] A.Bonami, D.Hilhoorst, E.Logak, M.Mimura: "Singular limit to a chemotaxis-growth model"Adv.Diff.Eq.. 6. 1173-1218 (2001)

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  • [Publications] M.Rodrigo, M.Mimura: "Exact solutions of reaction-diffusion systems and nonlinear wave equations"Japan J.Industrial and Appl.Mathematics. 18. 647-656 (2001)

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  • [Publications] D.Hilhorst, M.Iida, M.Mimura, H.NInomiya: "A competition-diffusion system approximation to the classical two-phase Stefan problem"Japan J.Industrial and Appl.Mathematics. 18. 161-180 (2001)

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  • [Publications] H.Ikeda, M.Mimura, H.Okamoto: "A singular pertrubation problem arising in Oseen's flows"Japan J.Industrial and Appl.Mathematics. 18. 393-403 (2001)

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  • [Publications] S.Kawaguchi, M.Mimura, T.Ohya, N.Oikawa, H.Okabe, S.Kai: "Hormone-mediated patterns formation in seeding of plants : a competitive growth dynamics model"J.Phys.Soc.Japan. 70. 3155-3160 (2001)

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  • [Publications] M.Mimura: "Dynamics of patterns and interfaces in some reaction-diffusion systems from chemical and biological viewpoints"Methods and Appl.Analysis. 8-3. 497-514 (2001)

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  • [Publications] D.Hilhorst, M.Iida, M.Mimura, H.Ninomiya: "A reaction-diffusion system approximation to the two-phase Stefan problem"Nonlinear Analysis. 47. 801-812 (2001)

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  • [Publications] M.Rodrigo, M.Mimura: "Annihilation dynamics in the KPP-Fisher equation"European J.Appl.Math.. 13. 195-204 (2002)

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  • [Publications] S.-I.Ei, M.M.Mimura, M.Nagayama: "Pulse-pulse interaction in reaction-diffusion systems"Physica D. 165. 176-198 (2002)

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  • [Publications] K.Osaki, T.Tsujikawa, A.Yagi, M.Mimura: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear Anal.. 51. 119-144 (2002)

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  • [Publications] M.Mimura, M.Nagayama, T.Ohta: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J.Methods and Appl.of Analysis. 9. 493-516 (2002)

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  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Anal.Real World Appl.. 4. 261-285 (2003)

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  • [Publications] E.Feiresl, D.Hilhorst, M.Mimura, R.Weidenfeld: "On a nonlinear diffusion system with resource-consumer interaction"Hiroshima Math.J.. 33. 253-295 (2003)

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  • [Publications] E.C.M.Crooks, E.N.Dancer, D.Hilhorst, M.Mimura, H.Ninomiya: "Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions"Nonlinear Anal.Series B. (to be pressed). (2004)

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  • [Publications] H.Shirono, H.Amano, M.Kawaguchi, T.Kato: "Characteristics of Alkyltrimethoxysilane-Treated Fumed Silicas and Rheological Behavior of fumed Silica Suspensions in an Epoxy Resin"J.Colloid Interface Sci.. 239. 555-562 (2001)

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  • [Publications] M.Kawaguchi: "Viscous Fingering in Polymeric Systems"Nonlinear analysis. 47. 907-918 (2001)

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  • [Publications] M.Kawaguchi, T.Yamamoto, T.Kato: "Rheological Properties of Silica Suspensions in Aqueous Solutions of Block Copolymers and Their Water-Soluble Components"J.Clloid Interface Sci.. 241. 293-295 (2001)

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  • [Publications] M.Kawaguchi, M.Okuno, T.Kato: "Rheological Properties of Carbon Black Suspensions in a Silicone Oil"Langmuir. 17. 6041-6044 (2001)

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  • [Publications] M.Kawaguchi, Y.Hibino, T.Kato: "Anisotropy Effects of Hele-Shaw Cells on Viscous Fingering Instability in Dilute Polymer Solutions"Phys.Rev.E. 64. 051806-1-051806-3 (2001)

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  • [Publications] K.Maeyama, H.Yamaguchi, T.Mukohhara, M.Kawaguchi, T.Kato: "Rheological Behavior of Suspensions Prepared from Plate-shaped Titanium Dioxide Particles in (Hydroxypropyl) Methylcellulose Aqueous Solution"Polym.Inter.. 51. 253-261 (2002)

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  • [Publications] M.Doi, M.Kawaguchi, T.Kato: "Rheology of Fumed Hydrophilic and Hydrophobic Titania Suspensions Dispersed in Silicone Oils"Colloids Surfaces A : Physicochem.Eng.Aspects. 211. 223-231 (2002)

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  • [Publications] M.Kawaguchi, S.Yamazaki, T.Kato: "Polymer Depletion-Induced Instability of Silica Suspensions in the Presence of Flexible and Semiflexible Polymers"J.Colloid Interface Sci.. 254. 396-401 (2002)

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  • [Publications] 川口正美: "コロイド分散系のヴィスコスフィンガリング"高分子加工. 51. 298-302 (2002)

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  • [Publications] M.Kawaguchi: "Viscous Fingering Instability in Polymer Solutions"Recent Res.Devel.Polymer Sci.. 6. 139-162 (2002)

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  • [Publications] M.Kawaguchi: "Viscous Fingering of Silica Suspensions Dispersed in Polymer Fluids"ACS Symposium Series No.869 "Nonlinear Dynamics in Polymeric Systems",Chapter 20. 869. 250-263 (2003)

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  • [Publications] 川口正美: "セルロース誘導体をふくむ複雑液体のヴィスコスフィンガリング"Cellulose Commun.. 10. 114-118 (2003)

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  • [Publications] M.Kawaguchi, K.Kubota: "Rheo-Optical Properties of Silicone Oil Emulsions in the Presence of Polymer Emulsifiers"Langmuir. 20. 1126-1129 (2004)

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  • [Publications] P.Parmananda, H.Mahara, T.Amemiya, T.Yamaguchi: "Resonance Induced Pacemakers : A New Class of Organizing Centers for Wave Propagation in Excitable Media"Phys.Rev.Lett.. 87(23). 238302-1-238302-4 (2001)

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  • [Publications] T.Amemiya, T.Yamamoto, T.Ohmori, T.Yamaguchi: "Experimental and Model Studies of Oscillations, Photoinduced Transitions, and Steady States in the Ru(bpy)32+-Catalyzed Belousov-Zhabotinsky Reaction under Different solution compositions"J.Phys.Chem.A. 106(4). 612-20 (2002)

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  • [Publications] R.Yoshida, T.Sakai, S.Ito, T.Yamaguchi: "Self-Oscillation of Polymer Chains with Rhythmical Soluble-Insoluble Changes"Journal of the American Chemical Society. 124. 8095-8098 (2002)

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  • [Publications] T.Yamaguchi: "Dissipative-Structure Assisted Self-Assembly of Metal Nanoparticles in Polymer Matrices"Polymer Preprints. 43(2). 847

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  • [Publications] T.Yamaguchi, N.Suematsu, H.Mahara: "Self-Organization of Hierarchy"ACS Symposium Series 869. 869. 16-27 (2004)

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  • [Publications] P.Kettunen, P.D.Bourke, H.Hashimoto, T.Amemiya, S.C.Mueller, T.Yamaguchi: "Computational Study of Helix Wave Formation in Active Media"Mathematical and Computer Modelling. (accepted).

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  • [Publications] H.Kawarada, E.Baba, H.Suito: "Effects of wave Breaking Action on Flows in Tidal-flats"Notes on Numerical Fluid Mechanics, Vol. 78,M. Hafes, K. Morinishi and J. Periaux, Eds.,Computational Fluid Dynamics for the 21st Century, Springer. 78. 275-289 (2001)

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  • [Publications] H.Kawarada, H.Suito: "Multi-phase Flow with Reaction"Lecture Notes in Computational Science and Engineering, I.Babuska, P.G.Ciarlet, T.Miyoshi, Eds.,Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Springer. 39-56 (2001)

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  • [Publications] 水藤寛, 河原田秀夫, 植田琢也: "仮想領域法による脳脊髄液流動の数値シミュレーション"京都大学数理解析研究所講究録. 1265. 184-188 (2002)

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  • [Publications] 水藤寛, 河原田秀夫, 植田琢也: "脳脊髄液流動解析における数値シミュレーション"京都大学数理解析研究所講究録. 1288. 81-85 (2002)

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  • [Publications] H.Suito, H.Kawarada: "Numerical Simulation of Spilled Oil by Fictitious Domain Method"Japan Journal of Industrial and Applied Mathematics. 21-2(to appear). (2004)

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  • [Publications] Y.Mizuyama, M.Tabata: "Lagrangian finite element analysis of the free surface of an incompressible dielectric liquid under an electric field"Theoretical Applied Mechanics. 50. 403-410 (2001)

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  • [Publications] M.Tabata: "Uniform solvability of finite element solutions in approximate domains"Japan Journal of Industrial and Applied Mathematics. 18. 567-585 (2001)

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  • [Publications] M.Tabata, S.Fujima: "Numerical analysis of flow problems by finite element methods"Sugaku Expositions. 14. 155-174 (2001)

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  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection"P.G.Ciarlet, I.Babuska, T.Miyoshi, editors, Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Vol.19 of Lecture Notes in Computational Science and Engineering, Springer, Berlin. 19. 219-231 (2002)

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  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 92. 161-177 (2002)

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  • [Publications] M.Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients-thermal convection problems in a spherical shell"Future Generation Computer Systems. (To appear).

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  • [Publications] Y.Giga, M.-H.Sato: "A level set approach to semicontinuous viscosity solutions for Cauchy problems"Comm.in Partial Differential Equations. 26(5&6). 813-839 (2001)

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  • [Publications] M.-H.Giga, Y.Giga: "Generalized motion by nonlocal curvature in the plane"Arch.Rational Mech.Anal.. 159. 295-333 (2001)

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  • [Publications] Y.Giga, M.Paolini, P.Rybka: "On the motion by singular interfacial energy"Japan J.Ind.Appl.Math.. 18. 231-248 (2001)

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  • [Publications] R.Kobayashi, Y.Giga: "On anisotropy and curvature effects for growing crystals"Japan J.Ind.Appl.Math.. 18. 207-230 (2001)

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  • [Publications] Y.Giga, S.Matsui, O.Sawada: "Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity"J.Math.Fluid Mech.. 3. 302-315 (2001)

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  • [Publications] M.H.Giga, Y.Giga, R.Kobayashi: "Very singular diffusion equations"Proc.of the last Taniguchi Symposium Advanced Studies in Pure Math.. 31. 93-125 (2001)

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  • [Publications] J.Escher, Y.Giga, K.Ito: "On a limiting motion and self-interactions of curves moved by the intermediate surface diffusion flow"Proc.of the third World Congress of Nonlinear Analysts 2000,(ed.V.Lakshmikantham),Nonlinear Analysis. 47. 3717-3728 (2001)

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  • [Publications] Y.Giga, K.Inui, J.Kato, S.Matsui: "Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations"Proc.of the third world Congress of Nonlinear Analysts 2000,(ed.V.Lakshmikantham) Nonlinear Analysis. 47. 4151-4156 (2001)

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  • [Publications] Y.Giga, N.Ishimura, Y.Kohsaka: "Spiral solutions for a weakly anisotropic curvature flow equation"Adv.Math.Sci.Appl.. 12. 393-408 (2002)

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  • [Publications] Y.Giga, P.Rybka: "Quasi-static evolution of 3-D cryctals growth from superstaturated vapor"Differential and Integral Equations. 15. 1-15 (2002)

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  • [Publications] J.Escher, Y.Giga, K.Ito: "On a limiting motion and self-intersections for the intermediate surface duffusion slow"J.of Evolution Equations. 2. 349-364 (2002)

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  • [Publications] Y.Giga: "Viscosity solutions with shocks"Comm.Pure Appl.Math.. 55. 431-480 (2002)

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  • [Publications] Y.Giga: "On the two-dimensional nonstationary vorticity equations"Proc.of the international conference on "Tosio Kato's Method and Principle for Evolution Equations in Methematical Physics",(ed.H.Fujita, S.T.Kuroda, H.Okamoto) Univ.of Tokyo Press, Tokyo. 86-97 (2002)

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  • [Publications] Y.-H.R.Tsai, Y.giga, S.Osher: "A level set approach for computing discontinuous solutions of a class of Hamilton-Jacobi equations"Math.Comp.. 72. 159-181 (2003)

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      2003 Final Research Report Summary
  • [Publications] M.Arisawa, Y.Giga: "Anisotropic curvature flow in a thin domain"Indiana Univ.Math.J.. 52. 257-281 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] C.M.Elliott, Y.Giga, S.Goto: "Dynamic boundary conditions for Hamilton-Jacobi equations"SIAM J.Math.Anal.. 34. 861-881 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga, P.Rybka: "Berg's effect"Adv.Math.Sci.Appl.. 13. 625-637 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga, O.Sawada: "On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem"Nonlinear Analysis and Applications, To V.Lakshmikantham on his 80th Birthday. vol.I. 549-562 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga, K.Yamada: "On viscous Burgers-like equations with linearly growing initial data"Boletim da Sociedade Paranaense de Matematica. 2002-20. 29-49 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga, R.Kobayashi: "On constrained equations with singular diffusivity"Methods and Applications of Analysis. 10. 253-78 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga: "Shocks and very strong vertical diffusion"Lectures on Partial Differential Equations in honor of Louis Nirenberg's 75th birthday (2003),International Press, Mass.U.S.A.. 95-102 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] M.-H.Giga, Y.Giga: "Minimal vertical singular diffusion preventing overturning for the Burgers equation"Recent Advances in Scientific Computing and Partial Differential Equations, Contemp.Math.,Amer.Math.Soc.Providence. 330. 73-88 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga: "Anisotropic curvature effects in interface dynamics"Sugaku Exposition. 16. 135-152 (2003)

    • Description
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  • [Publications] 池田勉, 長山雅晴: "燃焼合成反応におけるヘリカル波"応用数理. 11-2. 40-48 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] T.Ikeda, M.Nagayama: "Numerical simulation of helical waves arising in self-propagating high-temperature syntheses"数理解析研究所講究録1191"Interfaces, pulses and waves waves in nonlinear dissipative systems". 1191. 43-50 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] M.Nagayama, T.Ikeda, T.Ishiwata, N.Tamura, M.Ohyanagi: "Three-dimensional numerical simulation of helically propagating combustion waves"J.of Material Synthesis and Processing. 9-3. 153-163 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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      2003 Final Research Report Summary
  • [Publications] T.Nishida, T.Ikeda, H.Yoshihara: "Pattern formation of heat convection problems"Mathematical Modeling and Numerical Simulation in Continuum Mechanics (eds.I.Babuska, P.G.Ciarlet, T.Miyoshi), Lecture Notes in Computational Sciences and Engineering Vol.19,Springer. 19. 209-218 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Shewli Shamim Shanta, Toshiki Takeuchi, Hitoshi Imai, Masahiro Kushida: "Numerical Computation of attractors in free boundary problems"Advances in Mathematical Sciences and Applications. 11. 531-548 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi, Shewli Shamim Shanta, Naoyuki Ishimura, Toyohiko Aiki: "Numerical computation of Lyapunov exponents related to attractors in a free boundary problem"Nonlinear Analysis. 47. 3823-3833 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] 石村 直之, 今井 仁司, 竹内 敏己: "自由境界問題の数値解放-数理ファイナンスへの応用-"一橋論叢. 126. 419-428 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi: "Some advanced applications of the spectral collocation method"GAKUTO International Series, Mathematical Sciences and Applications. 17. 323-335 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Toshiki Takeuchi, Naoyuki Ishimura, Hitoshi Imai: "A new numerical technique for the option pricing problem of American type"'World Multiconference on Systemics, Cybernetics and Informatics Proceedings (Eds.,Nagib Callaos, Yunfa Hu, Manuel Rodriguez, Quang Ha),The International Institute of Informatics and Systemics. vol.II. 233-236 (2001)

    • Description
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  • [Publications] Toshiki Takeuchi, Hideo Sakaguchi, Cheng-Hai Jin, Hitoshi Imai: "On numerical methods for solving linear systems appearing in Infinite Precision Numerical simulation"京都大学数理解析研究所講究録,京都大学. 1198. 154-160 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi: "On numerical methods for analysis of chaotic phenomena in free boundary problems"京都大学数理解析研究所講究録,京都大学. 1210. 115-128 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Toyohiko Aiki, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada: "Well-posedness of one-phase Stefan problems for sublinear heat equations"Nonlinear Analysis. 51. 587-606 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Hitoshi Imai, Hideo Sakaguchi, Toshiki Takeuchi: "Parallel computing in infinite precision numerical simulation for PDE systems"PROCEEDINGS OF FIFTH CHINA-JAPAN SEMINAR ON NUMERICAL MATHEMATICS(Eds.Zhong-Ci Shi, Hideo Kawarada),Science Press Beijing. 141-146 (2002)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] C.-H.Jin, S.-L.Zhang, H.Imai: "A CGS-like method for solving nonsymmetric linear systems"PROCEEDINGS OF FIFTH CHINA-JAPAN SEMINAR ON NUMERICAL MATHEMATICS(Eds.Zhong-Ci Shi, Hideo Kawarada),Science Press Beijing. 147-153 (2002)

    • Description
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi, Hideo Skaguchi, Tetsuya Hishinuma: "On super numerical simulation"京都大学数理解析研究所講究録,京都大学. 1265. 9-17 (2002)

    • Description
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  • [Publications] Toshiki Takeuchi, Hitoshi Imai: "Domain Decomposition Method and infinite-Precision Numerical Simulation"京都大学数理解析研究所講究録,京都大学. 1288. 102-107 (2002)

    • Description
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  • [Publications] Toshiki Takeuchi, Hitoshi Imai: "direct numerical simulations of Cauchy problems for the Laplace operators"Advances in Mathematical Sciences and Applications. 13. 587-609 (2003)

    • Description
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  • [Publications] 今井 仁司: "応用解析における多倍長計算"数学,日本数学会編集,岩波書店. 55. 316-325 (2003)

    • Description
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  • [Publications] H.Imai, T.Takeuchi: "Direct simulation of an integral equation of the first kind"Proceedings of International Conference on Inverse Problems-Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee),World Scientific, Singapore. 247-254 (2003)

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      「研究成果報告書概要(和文)」より
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  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.A.Nakamura: "Eguchi-Oki-Matsumura Equation for phase separation : numerically guided approach"Proceedings of International Conference on Inverse Problems-Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee),World Scientific, Singapore. 433-442 (2003)

    • Description
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  • [Publications] Hideo Sakaguchi, Hitoshi Imai: "A numerical method for tracking the level set in one-dimensional problems"GAKUTO International Series, Mathematical Sciences and Applications. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] 今井 仁司: "極座標変換に伴う微分方程式の特異性の回避公式について"京都大学数理解析研究所講究録,京都大学. (to appear).

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] T.Nakaki: "The analysis to some point vortex problems using computers"Nonlinear Analysis. 47. 3849-3857 (2001)

    • Description
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  • [Publications] R.Ikota, M.Mimura, T.Nakaki: "Numerical computation for some competition-diffusion systems on a parallel computer"Proceedings of 12th International Conference on Domain Decomposition Methods. 373-379 (2001)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] T.Nakaki, K.Tomoeda: "Numerical approach to the waiting time for the one-dimensional porous medium equation"Quart.Appl.Math.. 61-4. 601-612 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] T.Nakaki: "Corotating five point vortices in a plane"Proc.of IUTAM Symposium on Tubes, Sheets and Singuratities in Fluid Dynamics, Fluid Mechanics and Applications series (eds.H.K.Moffatt, K.Bajer),Kluwer. 75-80 (2002)

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      「研究成果報告書概要(和文)」より
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  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Waves and Tidal Flat Ecosystems"Springer. 164 (2003)

    • Description
      「研究成果報告書概要(和文)」より
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  • [Publications] Y.Giga: "Surface Evolution Equations-a level set method"Lipschitz Lecture Notes 44, University of Bonn. 231 (2002)

    • Description
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  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference approach to the interface equation for some nonlinear diffusion equations with absorption"Proc.Japan Acad.. vol.77,Ser.A. 32-37 (2001)

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      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference scheme for some nonlinear diffusion equations in an absorbing medium : support splitting phenomena"SIAM J.Numer.Anal.. vol.40,no.3. 945-964 (2002)

    • Description
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  • [Publications] K.Tomoeda: "Numerical approach to support splitting phenomena in some diffusion equations with strong absorption"Proceedings of Fifth China-Japan Seminar on Numerical Mathematics(Edited by Zhong-Ci Shi, Hideo Kawarada)(Sciences Press). 211-219 (2002)

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  • [Publications] K.Matsuoka, K.Tomoeda: "Numerical computations to pulse splitting phenomena in the thermal waves through an absorbing medium"Journal of Computational and Applied Mathematics. Volume/Issue152/1-2. 319-332 (2003)

    • Description
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  • [Publications] K.Tomoeda: "The behavior of impulsively initiated thermal waves in an absorbing medium, Dynamics of Continuous"Discrete and Impulsive Systems, Series B: Applications and Algorithm. 10. 151-164 (2003)

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      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Tomoeda: "Support splitting phenomena of the solution to the porous media equation with absorption"Progress in Analysis, Proceedings of the 3rd International ISAAC Congress, 20-25 August 2001(Editors : Heinrich G W Begehr, Robert Pertsch Gilbert and Man Wah Wong). 1107-1116 (2003)

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  • [Publications] T.Nakaki, K.Tomoeda: "Numerical approach to the waiting time for the one-dimensional porous medium equation"Quart.Appl.Math.. 61,no.4. 601-612 (2003)

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  • [Publications] A.Bonami, D.Hilhorst, E.Logak, M.Mimura: "Singular limit to a chemotaxis-growth model"Adv.Diff.Eq.. 6. 1173-1218 (2001)

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  • [Publications] M.Rodrigo, M.Mimura: "Exact solutions of reaction-diffusion systems and nonlinear wave equations"Japan J.Industrial and Appl.Mathematics. Vol.18. 647-656 (2001)

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  • [Publications] D.Hilhorst, M.Iida, M.Mimura, H.Ninomiya: "A competition-diffusion system approximation to the classical two-phase Stefan problem"Japan J.Industrial and Appl.Mathematics. Vol.18. 161-180 (2001)

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  • [Publications] H.Ikeda, M.Mimura, H.Okamoto: "A singular perturbation problem arising in Oseen's flows"Japan J.Industrial and Appl.Mathematics. Vol.18. 393-403 (2001)

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      「研究成果報告書概要(欧文)」より
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  • [Publications] S.Kawaguchi, M.Mimura, T.Ohya, N.Oikawa, H.Okabe, S.Kai: "Hormone-mediated patterns formation in seeding of plants : a competitive growth dynamics model"J.Phys.Soc.Japan. Vol.70. 3155-3160 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] M.Mimura: "Dynamics of patterns and interfaces in some reaction-diffusion systems from chemical and biological viewpoints"Methods and Appl.Analysis. Vol.8,3. 497-514 (2001)

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  • [Publications] D.Hilhorst, M.Iida, M.Mimura, H.Ninomiya: "A reaction-diffusion system approximation to the two-phase Stefan problem"Nonlinear Analysis. 47. 801-812 (2001)

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  • [Publications] M.Rodrigo, M.Mimura: "Annihilation dynamics in the KPP-Fisher equation"European J.Appl.Math.. Vol.13. 195-204 (2002)

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  • [Publications] S.-I.Ei, M.M.Mimua, M.Nagayama: "Pulse-pulse interaction in reaction-diffusion systems"Physica D. 165. 176-198 (2002)

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  • [Publications] K.Osaki, T.Tsujikawa, A.Yagi, M.Mimura: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear Anal.. 51. 119-144 (2002)

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  • [Publications] M.Mimura, M.Nagayama, T.Ohta: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J.Methods and Appl.of Analysis. 9. 493-516 (2002)

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  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Anal.Real World Appl.. 4. 261-285 (2003)

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  • [Publications] E.Feiresl, D.Hilhorst, M.Mimura, R.Weidenfeld: "On a nonlinear diffusion system with resourceconsumer interaction"Hiroshima Math.J.. 33. 253-295 (2003)

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  • [Publications] H.Kawarada, E.Baba, H.Suito: "Effects of wave Breaking Action on Flows in Tidal-flats"Notes on Numerical Fluid Mechanics(M.Hafez, K.Morinishi and J.Periaux, Eds.)(Computational Fluid Dynamics for the 21st Century)(Springer). 275-289 (2001)

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  • [Publications] H.Kawarada, H.Suito: "Multi-phase Flow with Reaction"Lecture Notes in Computational Science and Engineering(I.Babuska, G.Ciarlet and T.Miyoshi, Eds.)(Mathematical Modeling arid Numerical Simulation in Continuum Mechanics)(Springer). 39-56 (2001)

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  • [Publications] H.Suito, H.Kawarada: "Numerical Simulation of Spilled Oil by Fictitious Domain Method"Japan Journal of Industrial and Applied Mathematics. Vol.21,No.2(to appear). (2004)

    • Description
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  • [Publications] Y.Mizuyama, M.Tabata: "Lagrangian finite element analysis of the free surface of an incompressible dielectric liquid under an electric field."Theoretical Applied Mechanics. Vol.50. 403-410 (2001)

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  • [Publications] M.Tabata: "Uniform solvability of finite element solutions in approximate domains."Japan Journal of Industrial and Applied Mathematics. Vol.18. 567-585 (2001)

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  • [Publications] M.Tabata, S.Fujima: "Numerical analysis of flow problems by finite element methods."Sugaku Expositions. Vol.14. 155-174 (2001)

    • Description
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  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection."Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Vol. 19 of Lecture Notes in Computational Science and Engineering(Springer, Berlin). 219-231 (2002)

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  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems."Numerische Mathematik. Vol.92. 161-177 (2002)

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  • [Publications] M.Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients -thermal convection problems in a spherical shell."Future Generation Computer Systems. (To appear).

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  • [Publications] M.Nagayama, T.Ikeda, T.Ishiwata, N.Tamura, M.Ohyanagi: "Three-dimensional numerical simulation of helically propagating combustion waves"J.of Material Synthesis and Processing. Vol.9,No.3. 153-163 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] T.Nishida, T.Ikeda, H.Yoshihara: "Pattern formation of heat convection problems, Mathematical Modeling and Numerical Simulation in Continuum Mechanics"Lecture Notes in Computational Sciences and Engineering(eds.I.Babuska, G.Ciarlet and T.Miyoshi)(Springer). Vol.19. 209-218 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, M.-H.Sato: "A level set approach to semicontinuous viscosity solutions for Cauchy problems"Comm.in Partial Differential Equations. 26(5&6). 813-839 (2001)

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  • [Publications] M.-H.Giga, Y.Giga: "Generalized motion by nonlocal curvature in the plane"Arch.Rational Mech.Anal.. 159. 295-333 (2001)

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  • [Publications] Y.Giga, M.Paolini, Rybka: "On the motion by singular interfacial energy"Japan J.Ind.Appl.Math.. 18. 231-248 (2001)

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  • [Publications] R.Kobayashi, Y.Giga: "On anisotropy and curvature effects for growing crystals"Japan J.Ind.Appl.Math.. 18. 207-230 (2001)

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  • [Publications] Y.Giga, S.Matsui, O.Sawada: "Global existence of two-dimensional Navier-Stokes flow with nondecaying initial velocity"J.Math.Fluid Mech.. 3. 302-315 (2001)

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  • [Publications] M.-H.Giga, Y.Giga, R.Kobayashi: "Very singular diffusion equations"Proc.of the last Taniguchi Symposium, Advanced Studies in Pure Math.. 31. 93-125 (2001)

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  • [Publications] J.Escher, Y.Giga, K.Ito: "On a limiting motion and self-interactions of curves moved by the intermediate surface diffusion flow"Proc.of the third World Congress of Nonlinear Analysts(ed.V.Lakshmikantham), Nonlinear Analysis. 47. 3717-3728 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
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  • [Publications] Y.Giga, K.Inui, J.Kato, S.Matsui: "Remarks on the uniqueness of bounded solutions of the Navier-Stokes equations"Proc.of the third World Congress of Nonlinear Analysts 2000, (ed.V.Lakshmikantham) Nonlinear Analysis. 47. 4151-4156 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, N.Ishimura, Y.Kohsaka: "Spiral solutions for a weakly anisotropic curvature flow equation"Adv.Math.Sci.Appl.. 12. 393-408 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, Rybka: "Quasi-static evolution of 3-D crystals growth from supersaturated vapor"Differential and Integral Equations. 15. 1-15 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] J.Escher, Y.Giga, K.Ito: "On a limiting motion and self-intersections for the intermediate surface diffusion flow"J.of Evolution Equations. 15. 1-15 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga: "Viscosity solutions with shocks"Comm.Pure Appl.Math.. 55. 431-480 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga: "On the two-dimensional nonstationary vorticity equations"Proc.of the international conference on "Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics"(ed.H.Fujita, S.T.Kuroda and H.Okamoto)(Univ.of Tokyo Press, Tokyo). 86-97 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.-H.R.Tsai, Y.Giga, S.Osher: "A level set approach for computing discontinuous solutions of a class of Hamilton-Jacobi equations"Math.Com. 72. 159-181 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] M.Arisawa, Y.Giga: "Anisotropic curvature flow in a thin domain"Indiana Univ.Math.J.. 52. 257-281 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] C.M.Elliott, Y.Giga, S.Goto: "Dynamic boundary conditions for Hamilton-Jacobi equations"SIAM J.Math.Anal.. 34. 861-881 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, Rybka: "Berg's effect"Adv.Math.Sci.Appl.. 13. 625-637 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] Y.Giga, O.Sawada: "On regularizing-decay rate estimates for solutions to the Navier-Stokes initial valueproblem"Nonlinear Analysis and Applications, To V.Lakshmikantham on his 80th Birthday. vol.I. 549-562 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, K.Yamada: "On viscous Burgers-like equations with linearly growing initial data"Boletim da Sociedade Paranaense de Matematica. 2002-20. 29-49 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga, R.Kobayashi: "On constrained equations with singular diffusivity"Methods and Applications of Analysis. 10. 253-278 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga: "Shocks and very strong vertical diffusion"Lectures on Partial Differential Equations in honor of Louis Nirenberg's, 75th birthday(International Press, Mass.U.S.A). 95-102 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] M.-H.Giga, Y.Giga: "Minimal vertical singular diffusion preventing overturning for the Burgers equation, Recent Advances in Scientific Computing and Partial Differential Equations, Contem Math."Amer.Math.Soc.Providence. 330. 73-88 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga: "Anisotropic curvature effects in interface dynamics"Sugaku Exposition. 16. 135-152 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Y.Giga: "Surface Evolution Equations -a level set method"Lipschitz Lecture Notes 44(University of Bonn)(Also Hokkaido Univ. Technical Report Series in Math.#71, 2002). 231 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Parmananda, H.Mahara, T.Amemiya, T.Yamaguchi: "Resonance Induced Pacemakers : A New Class of Organizing Centers for Wave Propagation in Excitable Media"Phys.Rev.Lett.. 87(23). 238302-1-238302-4 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Amemiya, T.Yamamoto, T.Ohmori, T.Yamaguchi: "Experimental and Model Studies of Oscillations, Photoinduced Transitions, and Steady States in the Ru(bpy) 32+-Catalyzed Belousov-Zhabotinsky Reaction under Different Solution Compositions"J.Phys.Chem.A. 106(4). 612-620 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] R.Yoshida, T.Sakai, S.Ito, T.Yamaguchi: "Self-Oscillation of Polymer Chains with Rhythmical Soluble-Insoluble Changes"Journal of the American Chemical Society. 124. 8095-8098 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] T.Yamaguchi: "Dissipative-Structure-Assisted Self-Assembly of Metal Nanoparticles in Polymer Matrices"Polymer. 43(2)(Preprints). 847

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Yamaguchi, N.Suematsu, H.Mahara: "Self -Organization of Hierarchy"ACS Symposium Series. 569. 16-27 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] Kettunen, D.Bourke, H.Hashimoto, T.Amemiya, S.C.Mueller, T.Yamaguchi: "Computational Study of Helix Wave Formation in Active Media"Mathematical and Computer Modelling. (accepted).

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] H.Shirono, H.Amano, M.Kawaguchi, T.Kato: "Characteristics of Alkyltrimethoxysilane-Treated Fumed Silicas and Rheological Behavior of Fumed Silica Suspensions in an Epoxy Resin"J.Colloid Interface Sci.. 239. 555-562 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi: "Viscous Fingering in Polymeric Systems"Nonlinear Analysis. 47. 907-918 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi, T.Yamamoto, T.Kato: "Rheological Properties of Silica Suspensions in Aqueous Solutions of Block Copolymers and their Water-soluble Components"J.Colloid Interface Sci.. 241. 293-295 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi, M.Okuno, T.Kato: "Rheological Properties of Carbon Black Suspensions in a Silicone Oil"Langmuir. 17. 6041-6044 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi, Y.Hibino, T.Kato: "Anisotropy Effects of Hele-Shaw Cells on Viscous Fingering Instability in Dilute Polymer Solutions"Phys.Rev.E. 64. 051806-1-051806-3 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Maeyama, H.Yamaguchi, T.Mukohhara, M.Kawaguchi, T.Kato: "Rheological Behavior of Suspensions Prepared from Plate-shaped Titanium Dioxide Particles in (Hydroxypropyl) Methylcellulose Aqueous Solution"Polym.Intern.. 51. 253-261 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] M.Doi, M.Kawaguchi, T.Kato: "Rheology of Fumed Hydrophilic and Hydrophobic Titania Suspensions Dispersed in Silicone Oils"Colloids Surfaces A : Physicochem.Eng.Aspects. 211. 223-231 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi, S.Yamazaki, T.Kato: "Polymer Depletion-Induced Instability of Silica Suspensions in the Presence of Flexible and Semiflexible Polymers"J.Colloid Interface Sci.. 254. 396-401 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi: "Viscous Fingering Instability in Polymer Solutions"Recent Res.Devel.Polymer Sci.. 6. 139-162 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi: "Viscous Fingering of Silica Suspensions Dispersed in Polymer Fluids"ACS Symposium Series No. 869 "Nonlinear Dynamics in Polymeric Systems". Chapter20. 250-263 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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      2003 Final Research Report Summary
  • [Publications] M.Kawaguchi, K.Kubota: "Rheo-Optical Properties of Silicone Oil Emulsions in the Presence of Polymer Emulsifers"Langmuir. 1126-1129 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Shewli Shamim Shanta, Toshiki Takeuchi, Hitoshi Imai, Masahiro Kushida: "NUMERICAL COMPUTATION OF ATTRACTORS IN FREE BOUNDARY PROBLEMS."Advances in Mathematical Sciences and Applications. Vol.11. 531-548 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi, Shewli Shamim Shanta, Naoyuki Ishimura, Toyohiko Aiki: "Numerical computation of Lyapuriov exponents related to attractors in a free boundary problem"Nonlinear Analysis. 47. 3823-3833 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Hitoshi Imai, Toshiki Takeuchi: "SOME ADVANCED APPLICATIONS OF THE SPECTRAL COLLOCATION METHOD. GAKUTO"International Series, Mathematical Sciences and Applications. Vol.17. 323-335 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Toshiki TAKEUCHI, Naoyuki ISHIMURA, Hitoshi IMAI: "A New Numerical Technique for the Option Pricing Problem of American Type."World Multiconference on Systemics, Cybernetics and Informatics Proceedings(Eds.,Nagib Callacs, Yunfa Hu, Manuel Rodriguez and Quang Ha)(The International Institute of Informatics and Systemics). Vol.II. 233-236 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Toyohiko Aiki, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada: "Well-posedness of one-phase Stefan problems for sublinear heat equations"Nonlinear Analysis. 51. 587-606 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Hitoshi Imai, Hideo Sakaguchi, Toshiki Takeuchi: "Parallel computing in infinite precision numerical simulation for PDE systems."PROCEEDiNGS OF FIFTH CHINA-JAPAN SEMINAR ON NUMERICAL MATHEMATICS(Eds.Zhong-Ci Shi and Hideo Kawarada)(Science Press, Beijing). 141-146 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] C.-H.Jin, S.-L.Zhang, H.Imai: "A CGS-like method for solving nonsymmetric linear systems."PROCEEDINGS OF FIFTH CHINA-JAPAN SEMINAR ON NUMERICAL MATHEMATICS(Eds.Zhong-Ci Shi and Hideo Kawarada)(Science Press, Beijing). 147-153 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Toshiki Takeuchi, Hitoshi Imai: "DIRECT NUMERICAL SIMULATIONS OF CAUCHY PROBLEMS FOR THE LAPLACE OPERATORS"Advances in Mathematical Sciences and Applications. Vol.13. 587-609 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] H.IMAI, T.TAKEUCHI: "DIRECT SIMULATION OF AN INTEGRAL EQUATION OF THE FIRST KIND."Proceedings of International Conference on Inverse Problems -Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee)(World Scientific, Singapore). 247-254 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.HANADA, H.IMAI, N.ISHIMURA, M.A.NAKAMURA: "EGUCHI-OKI-MATSUMURA EQUATION FOR PHASE SEPARATION : NUMERICALLY GUIDED APPROACH."Proceedings of International Conference on Inverse Problems -Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee)(World Scientific, Singapore). 433-442 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Hideo Sakaguchi, Hitoshi Imai: "A numerical method for tracking the level set in one-dimensional problems"GAKUTO International Series, Mathematical Sciences and Applications. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Nakaki: "The analysis to some point vortex problems using computers"Nonlinear Analysis. vol.47. 3849-3857 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] R.Ikota, M.Mimura, T.Nakaki: "Numerical computation for some competition-diffusion systems on a parallel computer"Proceedings of 12th International Conference on Domain Decomposition Methods. 373-379 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Nakaki: "Corotating five point vortices in a plane"Proc.of IUTAM Symposium on Tubes, Sheets and Singularity in Fluid Dynamics, Fluid Mechanics and Applications series(eds.H.K.Moffatt and K.Bajer)(Kluwer). 75-80 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Nakaki: "Computations on relaxation oscillation of five point vortices"Proceedings of Third International Workshop on Scientific Computing and Applications(Nova Science Publishers Inc.). (to appear). (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] H.Murakawa, T.Nakaki: "A singular limit approach to moving boundary problems and its applications"Theoretical and Applied Mechanics Japan. 52. 255-260 (2003)

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      「研究成果報告書概要(欧文)」より
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  • [Publications] H.Murakawa, T.Nakaki: "A singular limit method for the Stefan problem"the proceedings of European Conference on Numerical Mathematics and Advanced Applications(Springer-Verlag). (to appear). (2004)

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      「研究成果報告書概要(欧文)」より
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  • [Publications] H.Imai, K.Kikuchi, K.Nakane, S.Omata, T.Tachikawa: "A numerical approach to the asymptotic behavior of solutions of a one-dimensional hyperbolic free boundary problem"J.J.I.A.M.. 18-1. 43-58 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Nakane: "Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type"Proceedings of Japan Academy. Vol.77,Ser.A, No.7. 103-107 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Nakane: "Numerical calculation of singularities for Ginzburg-Landau functionals with a variable coefficient"Nonlinear Analysis. 47. 3803-3811 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] T.Nagasawa, K.Nakane, S.Omata: "Numerical computations for a hyperbolic Ginzburg-Landau system"Nonlinear Analysis. vol51. 67-77 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Nakane, T.Shinohara: "A variational approach for the one dimensional free boundary problem of hyperbolic type, Hyperbolic Problems : Theory, Numerics, Applications"Proceedings of Ninth International Conference on Hyperbolic Problems. 755-765 (2002)

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  • [Publications] K.Nakane, T.Shinohara: "Asymptotic Behavior of Solutions of a Hyperbolic Free Boundary Problem"DCDIS Series A : Math.Ana.. Vol.10. 289-298 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Nakane, T.Shinohara: "The Hyperbolic Free Boundary Problem Arising in Film Peeling Phenomena"Proceedings of the 3rd International ISAAC Congress(ed H.Begehr R.Gilbert and M. Wong). Vol.2. 1087-1096 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Nakane, T.Shinohara: "Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena"Journal of Computational and Applied Mathematics. 367-375 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] S.Omata, H.Iwasaki, K.Nakane, X.Xiong, M.Sakuma: "A Numerical Computation to the American Option Pricing via the Discrete Morse Flow"Theoretical and applied mechanics Japan. Vol52. 261-266 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] Hiroyuki Kuramae, Akitsugu Shimano, Akinori Kimura, Masahide Matsumoto, Yoshiki Furuno, Kohji Kamejima: "Integration of User Account Database on Multiple OS Environment"Proc.of IEEE Region 10 Conference on Computers, Communications, Control And Power Engineering. Vol.I. 176-179 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Waves and Tidal Flat Ecosystems"Springer. 164 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
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  • [Publications] K.Matsuoka, K.Tomoeda: "Numerical computations to pulse splitting phenomena in the thermal waves through an absorbing medium"Journal of Computational and Applied Mathematics. 152/1-2. 319-332 (2003)

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  • [Publications] K.Tomoeda: "The behavior of impulsively initiated thermal waves in an absorbing medium"Dynamics of Continuous, Discrete and Impulsive Systems, Series B : Applications and Alogorithm. 10. 151-164 (2003)

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  • [Publications] K.Tomoeda: "Support splitting phenomena of the solution to the porous media equation with absorption"Progress in Analysis, Proceedings of the 3rd International ISAAC Congress, 20-25 August 2001, Editors : Heinrich G W Begehr, Robert Pertsch Gilbert and Man Wah Wong. 2. 1107-1116 (2003)

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  • [Publications] T.Nakaki, K.Tomoeda: "Numerical approach to the waiting time for the one-dimensional porous medium equation"Quart.Appl.Math.. 61-4. 601-612 (2003)

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  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis. 261-285 (2003)

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  • [Publications] E.Feiresl, D.Hilhorst, M.Mimura, R.Weidenfeld: "On a nonlinear diffusion system with resource-consumer interaction"Hiroshima Math.J.. 33. 253-295 (2003)

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  • [Publications] E.C.M.Crooks, E.N.Dancer, D.Hilhorst, M.Mimura, H.Ninomiya: "Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions, to be pressed"Nonlinear Anal.Series B. (2004)

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  • [Publications] M.Kawaguchi: "Viscous Fingering of Silica Suspensions Dispersed in Polymer Fluids"ACS Symposium Series No.869 "Nonlinear Dynamics in Polymeric Systems", Chapter 20. 869. 250-263 (2003)

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      2003 Annual Research Report
  • [Publications] 川口正美: "セルロース誘導体を含む複雑液体のヴィスコスフィンガリング"Cellulose Commun.. 10. 114-118 (2003)

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      2003 Annual Research Report
  • [Publications] M.Kawaguchi, K.Kubota: "Rheo-Optical Properties of Silicone Oil Emulsions in the Presence of Polymer Emulsifers"Langmuir. 20. 1126-1129 (2004)

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      2003 Annual Research Report
  • [Publications] P.Kettunen, P.D.Bourke, H.Hashimoto, T.Amemiya, S.C.Mueller, T.Yamaguchi: "Computational Study of Helix Wave Formation in Active Media"Mathematical and Computer Modelling. (to appear).

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      2003 Annual Research Report
  • [Publications] T.Yamaguchi, N.Suematsu, H.Mahara: "Self - Organization of Hierarchy"ACS Symposium Series 869. 869. 16-27 (2004)

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      2003 Annual Research Report
  • [Publications] H.Suito, H.Kawarada: "Numerical Simulation of Spilled Oil by Fictitious Domain Method"Japan Journal of Industrial and Applied Mathematics. 21-2(to appear). (2004)

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      2003 Annual Research Report
  • [Publications] M.Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients - thermal convection problems in a spherical shell"Future Generation Computer Systems. (to appear).

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      2003 Annual Research Report
  • [Publications] M.Arisawa, Y.Giga: "Anisotropic curvature flow in a thin domain"Indiana Univ.Math.J.. 52. 257-281 (2003)

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      2003 Annual Research Report
  • [Publications] Y.Giga, P.Rybka: "Berg's effect"Adv.Math.Sci.Appl.. 13. 625-637 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.-H.R.Tsai, Y.Giga, S.Osher: "A level set approach for computing discontinuous solutions of a class of Hamilton-Jacobi equations"Math.Comp.. 72. 159-181 (2003)

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      2003 Annual Research Report
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulations of Cauchy problems for the Lalpace operators"Advances in Mathematical Sciences and Applications. 13. 587-609 (2003)

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      2003 Annual Research Report
  • [Publications] 今井 仁司: "応用解析における多倍長計算"数学,日本数学会編集,岩波書店. 55. 316-325 (2003)

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      2003 Annual Research Report
  • [Publications] H.Imai, T.Takeuchi: "Direct simulation of an integral equation of the first kind"Proceedings of International Conference on Inverse Problems - Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee), World Scientific, Singapore. 247-254 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.A.Nakamura: "Eguchi-Oki-Matsumura equation for phase separation : Numerically guided approach"Proceedings of International Conference on Inverse Problems -Recent Developments in Theories & Numerics(Eds.Yiu-Chung Hon, Masahiro Yamamoto, Jin Cheng, June-Yub Lee), World Scientific, Singapore. 433-442 (2003)

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      2003 Annual Research Report
  • [Publications] T.Nakaki: "Computations on relaxation oscillation of five point vortices"Proceedings of Third International Workshop on Scientific Computing and Applications, Nova Science Publishers Inc., 6 pages. (to appear). 6 (2003)

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      2003 Annual Research Report
  • [Publications] H.Murakawa, T.Nakaki: "A singular limit approach to moving boundary problems and its applications"Theoretical and Applied Mechanics Japan. 52. 255-260 (2003)

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      2003 Annual Research Report
  • [Publications] H.Murakawa, T.Nakaki: "A singular limit method for the Stefan problem"The proceedings of European Conference on Numerical Mathematics and Advanced Applications, Springer-Verlag. (to appear). 6 (2004)

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      2003 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "Asymptotic Behavior of Solutions of a Hyperbolic Free Boundary Problem"Dynamics of Continuous, Discrete and Impulsive Systems, Series A : Mathematical Analysis. 10. 289-298 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "The Hyperbolic Free Boundary Problem Arising in Film Peeling Phenomena"Progress in Analysis, Proceedings of the 3rd International ISAAC Congress, 20-25 August 2001, Editors : Heinrich G W Begehr, Robert Pertsch Gilbert and Man Wah Wong. 2. 1087-1096 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena"Journal of Computational and Applied Mathematics. 367-375 (2003)

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      2003 Annual Research Report
  • [Publications] 倉前宏行, 仲町英治: "計算グリッドを用いた結晶均質化並列マルチスケール有限要素解析"日本機械学会第16回計算力学講演会講演論文集. 51-52 (2003)

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      2003 Annual Research Report
  • [Publications] 倉前宏行, 村岡英彦, 仲町英治: "動的負荷分散を考慮した並列マルチスケール有限要素法の開発"日本機械学会関西支部第26回NCP研究会・機械の強度と形態研究懇話会シンポジウム論文集. 41-42 (2003)

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      2003 Annual Research Report
  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Wavs and Tidal Flat Ecosystems"Springer. 164 (2003)

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      2003 Annual Research Report
  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference scheme for some nonlinear diffusion equations in absorbing medium : support splitting phenomena"SIAM J.Numer.Anal.. 77. 945-964 (2002)

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      2002 Annual Research Report
  • [Publications] T.Tomoeda: "Numerical approach to support splitting phenomena in some diffusion equations with strong absorption"Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics, Edited by Zhong-Ci Shi and Hideo Kawarada, Siences Press. 211-219 (2002)

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      2002 Annual Research Report
  • [Publications] K.Tomoeda: "The behavior of impulsively initiated thermal waves in an absorbing medium"Dynamics of Continuous, Discrete and Impulsive Systems. B-10(to appear). 151-164 (2003)

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      2002 Annual Research Report
  • [Publications] N.Rodrigo, M.Mimura: "Annihilation dynamics in the KPP-Fisher equation"European J.Appl.Math.. 13. 195-204 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.-I.Ei, M.Mimua, M.Nagayama: "Pulse-pulse interaction in reaction-diffusion systems"Physica D. 165. 176-198 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Osaki, T.Tsujikawa, A.Yagi, M.Mimura: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear anal.. 51(to appear). 119-144 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Funaki, M.Mimura, T.Tsujikawa: "Travelling front solutions arising in a chemotaxis-growth model"J.Math.Biol.. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Mimura, M.Nagayama, T.Ohta: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J.Methods and Appl.of Analysis. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis, Series A. 4-2(to appear). 261-285 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] E.Feireisl, D.Hilhorst, M.Mimura, R.Weidenfeld: "On a nonlinear diffusion systems with resource-consumer interaction"Hiroshima Math.J.. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 水藤寛, 植田琢也, 河原田秀夫: "仮想領域法による脳脊髄液流動の数値シミュレーション"京都大学数理解析研究所講究録. 1265. (2002)

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      2002 Annual Research Report
  • [Publications] 水藤寛, 植田琢也, 河原田秀夫: "領域分割法による脳脊髄液流動シミュレーション"第52回理論応用力学講演会講演論文集. (2003)

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      2002 Annual Research Report
  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 92. 161-177 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] T.Nishida, T.Ikeda, H.Yoshihara: "Pattern formation of heat convection problems"Mathematical Modeling and Numerical Simulation in Continuum Mechanics(eds. I.Babuska, P.G.Ciarlet and T.Miyoshi), Lecture Notes in Computational Sciences and Engineering, Springer. 19. 209-218 (2002)

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      2002 Annual Research Report
  • [Publications] Y.Giga, P.Rybka: "Berg's effect"(preprin).

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      2002 Annual Research Report
  • [Publications] C.M.Elliot, Y.Giga, S.Goto: "Dynamic boundary conditions for Hamilton-Jacobi equations"SIAM J.Math.Anal.. 34-4(to appear). 861-881 (2003)

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      2002 Annual Research Report
  • [Publications] M.Arisawa, Y.Giga: "Anisotropic curvature flow in a thin domain"Indiana Univ.Math.J.. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Giga, Y.-H.R.Tsai, S.Osher: "A level set approach for computing discontinuous solutions of a class of Hamilton-Jacobi equations"Math.Comp.. 72-241(to appear). 159-181 (2003)

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      2002 Annual Research Report
  • [Publications] Y.Giga: "Shocks and very strong vertical diffusion"Proc. of international conference on partial differential equations in celebration of the seventy fifth birthday of Professor Louis Nirenberg, Taiwan 2001. (to appear).

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      2002 Annual Research Report
  • [Publications] M.-H.Giga, Y.Giga: "Minimal vertical singular diffusion preventing overturning for the Burgers equation"(preprint).

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      2002 Annual Research Report
  • [Publications] Y.Giga: "On the two-dimensional nonstationary vorticity equations"Pro. of the international conference on "Tosio Kato's Method and Principle for Evolution Equations in Methematical Physics",Univ.of Tokyo Press, Tokyo. 86-97 (2002)

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      2002 Annual Research Report
  • [Publications] J.Escher, Y.Giga, K.Ito: "On a limiting motion and self-intersections for the intermediate surface duffusion flow"J.of Evolution Equations. 2. 349-364 (2002)

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      2002 Annual Research Report
  • [Publications] Y.Giga, P.Rybka: "Quasi-static evolution of 3-D cryctals growth from supersaturated vapor"Diffenential Integral Equations. 15. 1-15 (2002)

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      2002 Annual Research Report
  • [Publications] Y.Giga, N.Ishimura, Y.Kohsaka: "Spiral Solutions for a weakly anisotropic curvature flow equation"Adv.Math.Sci.Appl.. 12. 393-408 (2002)

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  • [Publications] Y.Giga: "Viscosity solutions with shocks"Comm.Pure Appl.Math.. 55. 431-480 (2002)

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      2002 Annual Research Report
  • [Publications] R.Yoshida, T.Sakai, S.Ito, T.Yamaguchi: "Self-Oscillation of Polymer Chains with Rhythmical Soluble-Insoluble Changes"Journal of the American Chemical Society. 124. 8095-8098 (2002)

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  • [Publications] T.Yamaguchi: "Dissipative-Structure-Assisted Self-Assembly of Metal Nanoparticles in Polymer Matrices"Polymer Preprints. 43(2). 847-847 (2002)

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  • [Publications] 川口正美: "コロイド分散系のヴィスコスフィンガリング"高分子加工. 51. 298-302 (2002)

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      2002 Annual Research Report
  • [Publications] Masami Kawaguchi: "Viscous Fingering Instability in Polymer Solutions"Recent Res.Devel.Polymer Sci.. 6. 139-162 (2002)

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      2002 Annual Research Report
  • [Publications] Hitoshi Imai, Toshiki Takeuchi: "Direct Simulation of an Integral of the First Kind"Proceedings for International Conference on Inverse Problems, Recent Developments in Theories and Numerics, World Scientific. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] 今井 仁司, 竹内 敏己, 坂口 秀雄: "楕円型作用素のコーシー問題に対する無限精度数値シミュレーション"第52回理論応用力学講演会講演論文集. 195-196 (2003)

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  • [Publications] 竹内 敏己, 今井 仁司, 磯 祐介: "熱伝導方程式に関する逆問題の無限制度並列数値シミュレーション"第52回理論応用力学講演会講演論文集. 197-198 (2003)

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  • [Publications] T.Nakaki: "Corotating five point vortices in a plane"Proc. of TUTAM Symposium on Tubes, Sheets and Singuraities in Fluid Dynamics, Fluid Mechanics and Applications series (eds.H.K.Moffatt and K.Bajer),Kluwer,6pages. (to appear).

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      2002 Annual Research Report
  • [Publications] T.Nagasawa, K.Nakane, S.Omata: "Numerical computations for motion of vortices governed by a hyperbolic Ginzburg-Landau system"Nonlinear Analysis. 51. 67-77 (2002)

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      2002 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena"Journal of Computational and Applied Mathematics. 152(to appear). 367-375 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "Asymptotic Behavior of Solutions of a Hyperbolic Free Boundary Problem"Dynamics of Continuous, discrete and Impulsive Systems. A-10(to appear). 289-298 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Nakane, T.Shinohara: "The hyperbolic free boundary problem arising in film peeling phenomena"Proceedings ISAAC2001. (to appear).

    • Related Report
      2002 Annual Research Report
  • [Publications] S.D.Howison, J.R.Ockendon, J.Oliver: "Deep and shallow-water slamming at small and zero deadrise angles"J.Eng.Math.. 42. 373-388 (2002)

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      2002 Annual Research Report
  • [Publications] J.R.Ockendon: "Some problems in superconductivity and reactive flow"Invited Contribution to : Proceedings of Advanced Scientific Institute, Cargese,1999. Eds H.Berestycki, Y.Pomeau(2002) Nato-ASI Series, Kluwer. 449-459 (2002)

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      2002 Annual Research Report
  • [Publications] Y.Giga: "Surface Evolution Equations -a level set method"University of Bonn. 231 (2002)

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      2002 Annual Research Report
  • [Publications] M.Kawaguchi: "Viscous fingering instability in polymer solutions in Recent research developments in polymer science"Transworld, Research Network. 30 (2002)

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      2002 Annual Research Report
  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference approach to the interface equation for some nonlinear diffusion equation with absorption"Proc. Japan Acad. Ser. A. 77. 32-37 (2001)

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      2001 Annual Research Report
  • [Publications] T.Nakaki, K.Tomoeda: "A finite difference scheme for some nonlinear diffusion equations in absorbing medium : support splitting phenomena"SIAM J. Numer. Anal. (to appear).

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      2001 Annual Research Report
  • [Publications] K.Tomoeda: "Numerical approach to support splitting phenomena in some diffusion equations with strong absorption"Proceedings of the Fifth China-Japan Seminar on Numerica Mathematics. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Rodrigo, M.Mimura: "Exact solutions of reaction-diffusion systems and nonlinear wave equations"Japan J. Indsutrial and Appl. Mathematics. 18. 647-656 (2001)

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      2001 Annual Research Report
  • [Publications] D.Hilhorst, M.Ida, M.Mimura.H.Ninomiya: "A competition-diffusion system approximation to the classical two-phase Stefan problem"Japan J. Indsutrial and Appl. Mathematics. 18. 161-180 (2001)

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      2001 Annual Research Report
  • [Publications] H.Ikeda, M.Mimura, H.Okamoto: "A singular pertrubation problem arising in Oseen's flows Japan J. Indsutrial and Appl. Mathematics"Japan J. Indsutrial and Appl. Mathematics. 18. 393-404 (2001)

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      2001 Annual Research Report
  • [Publications] S.Kawaguchi, M.Mimura, T.Ohya, N.Oikawa, H.Okabe, S.Kai: "Hormone-mediated patterns formation in seeding of plants : a competitive growth dynamics model"J. Phys. Soc. Japan. 70. 3155-3160 (2001)

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      2001 Annual Research Report
  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Osaki T.Tsujikawa, A.Yagi, M.kiimura: "Exponential attractor for a chemotaxis growth system of equations"Nonlinear Anal., Series A. (to appear).

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      2001 Annual Research Report
  • [Publications] M.Funaki, M.Mimura, T.Tsujikawa: "Travelling front solutions arising in a chemotaxis growth model"J. Math. Biol.. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] A.Bonami, D.Hilhorst, B.Logak, M.Mimura: "A free boundary problem arising in a chemotaxis model"Free Boundary problems. Theory and Applications (eds. M. Niezgodaka and P. Strzelecki), Longman. (to appear).

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Mimura, M.Nagayama, T.Ohta: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J. Methods and Appl. of Analysis. (to appear).

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      2001 Annual Research Report
  • [Publications] Hideo Kawarada, Hiroshi Suito: "Shape optimization for an acoustic problem"Proceedin of 12th International Conference on Domain Decompo-sitia n Methods. 419-426 (2001)

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      2001 Annual Research Report
  • [Publications] Hideo Kawarada, Kazuyoshi Hiroki, Hiroshi Suito: "Neural network optimization method"Innovative Tools for Scientific Computation in Aeronautical Engineering, (c) CIMNE, Barcelona. 346-350 (2001)

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      2001 Annual Research Report
  • [Publications] Hideo Kawarada, C.Bernardi, V.Girault, F.Hecht, O.Pironneau: "A finite element problem issued from fictitious domain techniques"East-West Journal of Numerical Mathematics. 9(4). 253-316 (2001)

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      2001 Annual Research Report
  • [Publications] M.Tabata: "Uniform solvability of finite element solutions in approximate domains"Japan Journal of Industrial and Applied Mathematics. 18. 567-585 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Mizuyama, M.Tabata: "Lagrangian finite element analysis of the free surface of an incompressible di-electric liquid under an electric field"Theoretical Appliedl Mechanics. 50. 403-410 (2001)

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      2001 Annual Research Report
  • [Publications] M.Tabata, S.Fujima: "Numerical analysis of flow problems by finite element methods"Sugaku Expositions. 14. 155-174 (2001)

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      2001 Annual Research Report
  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection"Mathematical Modeling and Numerical Simulation in Continuum Mechanics of Lecture Notes in Computational Science and Engineering, P. G. Ciarlet I. Babuska and T. Miyoshi, editors, Springer, Berlin. 19. 216-231 (2001)

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      2001 Annual Research Report
  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 2002(to appear).

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      2001 Annual Research Report
  • [Publications] 池田勉, 長山雅晴: "燃焼合成反応におけるヘリカル波"応用数理. 11(2). 40-48 (2001)

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      2001 Annual Research Report
  • [Publications] M.Nagayama, T.Ikeda, T.Ishiwata, N.Tamura, M.Ohyanagi: "Three-dimensional numerical simulation of helically propagating combustion waves"J. of Material Synthesis and Processing. 9(3). 153-163 (2001)

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      2001 Annual Research Report
  • [Publications] T.Nishida, T.Ikeda, H.Yoshihara: "Pattern formation of heat convection problems"Mathematical Modeling and Numerical Simulation in Continuum Mechanics (eds. I. Babuska, P. G. Ciarlet and T. Miyoshi), Lecture Notes in Computa-tional Sciences and Engineering, Springer. 19. 209-218 (2002)

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      2001 Annual Research Report
  • [Publications] R.Kobayashi, Y.Giga: "On anisotropy and curvature effects for growing crystals"Japan J. Ind. Appl. Math.. 18. 207-230 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Giga, M.Paolini, P.Rybka: "On the motion by singular interfacial energy"Japan J. Ind. Appi. Math.. 18. 231-248 (2001)

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  • [Publications] M.-H.Giga, Y.Giga: "Generalized motion by nonlocal curvature in the plane"Arch. Rational Mech. Anal.. 159. 295-333 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Giga, P.Rybka: "Quasi-static evolution of 3-D cryctals growth from superstaturated vapor"Differential Integral Equations. 15. 1-15 (2002)

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      2001 Annual Research Report
  • [Publications] P.Parmananda, H.Mahara, T.Amemiya, T.Yamaguchi: "Resonance induced pacemakers : A new class of organizing centers for wave propagation in excitable media"Physical Review Letters. 87(23). 238302-238305 (2001)

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      2001 Annual Research Report
  • [Publications] T.Amemiya, T.Yamamoto, T.Ohmori, T.Yamaguchi: "Experimental and model studies of oscillations, photoinduced transitions, and steady states in the Ru(bpy)32+-catalyzed Belousov-Zhabotinsky reaction under different solution comDositions"J. Phys. Chem. A. 106(4). 612-620 (2002)

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  • [Publications] M.Kawaguchi: "Viscous fingering in polymeric systems"Nonhnear Analysis. 47. 907 (2001)

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      2001 Annual Research Report
  • [Publications] M.Kawaguchi, Y.Hibino, T.Kato: "Anisotropy effects of Hele-Shaw cells on viscous fingering instability in dilute polymer solutions"Phys. Rev. E. 64. 0561806 (2001)

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      2001 Annual Research Report
  • [Publications] 石村直之, 今井仁司, 竹内敏己: "自由境界問題の数値解法-数理ファイナンスへの応用-"一橋論義. 126(4). 419-428 (2001)

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  • [Publications] Hitoshi Imai, Toshiki Takeuchi, Shewli Shamim Shanta, Naoyuki Ishimura. Tovohiko Aiki: "Numerical computation of Lyapunov exponents related to attractors in a free boundary problem"Nonlinear Analysis. 47. 3823-3833 (2001)

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      2001 Annual Research Report
  • [Publications] Toshiki Takeuchi, Naoyuki Ishimura, Hitoshi Imai: "A new numerical technique for the option pricing problem of American type World Multiconference on Systemics, Cybernetics and Informatics Proceedings ( Eds., N. Callaos, Y. Hu, M. Rodriguez and Q. Ha ), The International"Institute of Informatics and Systemics. II. 233-236 (2001)

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      2001 Annual Research Report
  • [Publications] T.Nakaki: "The analysis to some point vortex problems using computers"Nonlinear Analysis. 47. 3849-3857 (2001)

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      2001 Annual Research Report
  • [Publications] R.Ikota, M.Mimura, T.Nakaki: "Numerical computation for some competition-diffusion systems on a parallel computer"Proceedins of 12th International Conference on Domain Decompo-sition Methods. 373-379 (2001)

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      2001 Annual Research Report
  • [Publications] T.Nakaki, K.Tomoeda: "Numerical approach to the waiting time for the one-dimensional porous medium equation"Quart. Appl. Math.. (to appear).

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      2001 Annual Research Report
  • [Publications] H.Imai, K.Kikuchi, K.Nakane, S.Omata, T.Tachikawa: "A numerical approach to the asymptotic behavior of solutions of a one-dimensional hyperbolic free boundary problem"Japan J. Indsutrial and Appi. Mathematics. 18(1). 43-58 (2001)

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      2001 Annual Research Report
  • [Publications] K.Nakane: "Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type"Proc. Japan Acad. Ser. A. 77. 103-107 (2001)

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      2001 Annual Research Report
  • [Publications] K.Nakane: "Numerical calculation of singularities for Ginzburg-Landau functionals with a variable coefficient"Nonlinear Analysis. 47. 3803-3811 (2001)

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      2001 Annual Research Report
  • [Publications] C.J.Breward R.C.Darton, P.D.Howell, JAIL Ockendon: "The effect of surfactants on expanding free surfaces"Chem. Eng. Sci.. 56. 2867-2878 (2001)

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      2001 Annual Research Report
  • [Publications] S.Falle, H.Ockendon, J.R.Ockendon: "The Fanno model for turbulent compressible flow"J. Fluid Mech.. (to appear). (2001)

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      2001 Annual Research Report
  • [Publications] H.Ockendon, J.R.Ockendon: "Nonlinearity in fluid resonances"Mecannica. (to appear). (2001)

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      2001 Annual Research Report
  • [Publications] S.D.Howison, J.R.Ockendon: "Kochina and Hele-Shaw in modern mathematics, science and industry"Priklay Math. Mech. (Ed. Yu Gupalo). 532-546 (2001)

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      2001 Annual Research Report
  • [Publications] M.Kawaguchi: ""Viscous fingering instability in polymer solution" in "Recent research developments in polymer science""Transworld, Research Network. 30 (2002)

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      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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