Stability analysis for nonlinear partial differential equations

• Project/Area Number: 22244009
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Kyushu University
• Principal Investigator: KAWASHIMA Shuichi 九州大学, 数理(科)学研究科(研究院), 教授 (70144631)
• Co-Investigator(Kenkyū-buntansha): KAGEI Yoshiyuki 九州大学, 大学院数理学研究院, 教授 (80243913) ; NAKAMURA Tohru 熊本大学, 大学院自然科学研究科, 准教授 (90432898) ; OGAWA Takayoshi 東北大学, 大学院理学研究科, 教授 (20224107) ; IKEHATA Ryo 広島大学, 大学院教育学研究科, 教授 (10249758)
• Co-Investigator(Renkei-kenkyūsha): KOBAYASHI Takayuki 大阪大学, 大学院基礎工学研究科, 教授 (50272133) ; HATAYA Yasushi 山口大学, 大学院理工学研究科, 助教 (20294621)
• Project Period (FY): 2010-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥35,230,000 (Direct Cost: ¥27,100,000、Indirect Cost: ¥8,130,000); Fiscal Year 2014: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000); Fiscal Year 2013: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000); Fiscal Year 2012: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000); Fiscal Year 2011: ¥7,800,000 (Direct Cost: ¥6,000,000、Indirect Cost: ¥1,800,000); Fiscal Year 2010: ¥7,150,000 (Direct Cost: ¥5,500,000、Indirect Cost: ¥1,650,000)
• Keywords: 偏微分方程式 / 消散構造 / 安定性解析 / 減衰評価 / エネルギー法 / 非線形偏微分方程式 / 緩和的双曲系 / Timoshenko 系 / Euler-Poisson 系 / 時間大域解 / 調和解析 / 消散型波動方程式 / 拡散波 / Timoshenko系 / Euler-Maxwell 方程式系 / 済散型波動方程式 / 粘弾性体方程式系 / 対称双曲系 / Euler-Maxwell方程式系 / 圧縮性Navier-Stokes方程式 / 消散的波動方程式

Outline of Final Research Achievements

We studied systems of nonlinear partial differential equations in the fields of gas dynamics, elasto-dynamics and plasma physics. We investigated the dissipative structure and decay property of the systems and proved the asymptotic stability of various nonlinear phenomena of vibration and wave propagation. Also we developed a general theory on nonlinear stability analysis for hyperbolic systems of conservation equations with relaxation and observed that the time-weighted energy method, semigroup approach and the technique of harmonic analysis are useful in the stability analysis.

Research Products

• [Journal Article] Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation (2015)
  • Author(s): S. Kawashima and Y.-Z. Wang
  • Journal Title: Analysis and Applications Volume: 13 Issue: 03 Pages: 233-255
  • DOI: 10.1142/s021953051450002x
  • Peer Reviewed
• [Journal Article] Global existence and optimal decay rares for the Timoshenko system: the case of equal wave speeds (2015)
  • Author(s): N. Mori, J. Xu and S. Kawashima
  • Journal Title: J. Diff. Equations Volume: 258 Issue: 5 Pages: 1494-1518
  • DOI: 10.1016/j.jde.2014.11.003
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Mathematical analysis for systems of viscoelasticity and viscothermoelasticity (2015)
  • Author(s): S. Kawashima
  • Journal Title: Proceedings of the conference"Mathematical Fluid Dynamics and Nonlinear Wave" Volume: 印刷中
  • Peer Reviewed
• [Journal Article] The optimal decay estimates on the framework of Besov spaces for generally dissipative systems (2015)
  • Author(s): J. Xu and S. Kawashima
  • Journal Title: Arch. Rat. Mech. Anal Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Decay property of the Timoshenko-Cattaneo system (2015)
  • Author(s): N. Mori and S. Kawashima
  • Journal Title: Analysis and Applications Volume: 印刷中
  • Peer Reviewed
• [Journal Article] The optimal decay estimates for the Euler-Poisson two-fluid system (2015)
  • Author(s): J. Xu and S. Kawashima
  • Journal Title: Math. Models Meth. Appl. Sci Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Existence and stability of time periodic solution to the compressible Navier-Stokes equation for time periodic external force with symmetry (2015)
  • Author(s): Yoshiyuki Kagei and Kazuyuki Tsuda
  • Journal Title: J. Differential Equations Volume: 258 Issue: 2 Pages: 399-444
  • DOI: 10.1016/j.jde.2014.09.016
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Instability of plane Poiseuille flow in viscous compressible gas (2015)
  • Author(s): Yoshiyuki Kagei and Takaaki Nishida
  • Journal Title: J. Math. Fluid Mech Volume: 17 Issue: 1 Pages: 129-143
  • DOI: 10.1007/s00021-014-0191-4
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Spectral properties of the linearized semigroup of the compressible Navier-Stokes equation on a periodic layer (2015)
  • Author(s): Yoshiyuki Kagei and Naoki Makio
  • Journal Title: Res. Inst. Math. Sci Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Final state problem for a quadratic nonlinear Schr"odinger system in two space dimensions with mass resonance (2015)
  • Author(s): Takayoshi Ogawa, Kota Uriya
  • Journal Title: J. Differential Equations Volume: 258 Issue: 2 Pages: 483-503
  • DOI: 10.1016/j.jde.2014.09.022
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Ill-posedness issue for nonlinear Schr"odinger equation with the quadratic nonlinearity for low dimensions (2015)
  • Author(s): Tsukasa Iwabuchi, Takayoshi Ogawa
  • Journal Title: Trans. Ameri. Math. Soc Volume: 367 Pages: 2613-2630
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Threshold of global behavior of solutions to a degenerate drif-diffusion system in between two critical exponents (2015)
  • Author(s): Atsushi Kimijima, Kazushige Nakagawa, Takayoshi Ogawa
  • Journal Title: Calc. Vals. P.D.E Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Two dimensional drift-diffusion system in a critical weighted space (2015)
  • Author(s): Masaki Kurokiba, Takayoshi Ogawa
  • Journal Title: Differential Integral Equations Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Global existence of solutions to a parabolic-elliptic system of drift-diffusion type in R^2 (2015)
  • Author(s): Toshitaka Nagai, Takayoshi Ogawa
  • Journal Title: Funkcial. Ekvac Volume: 印刷中
  • NAID: 130005145540
  • Peer Reviewed
• [Journal Article] Some remarks on the asymptotic profiles of solutions for strongly damped wave equations on the 1-D half space (2015)
  • Author(s): Ryo Ikehata
  • Journal Title: J. Math. Anal. Appl Volume: 421 Issue: 1 Pages: 905-916
  • DOI: 10.1016/j.jmaa.2014.07.055
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Asymptotic behavior for abstract evolution differential equations of second order (2015)
  • Author(s): Cleverson Roberto da Luz, Ryo Ikehata and Ruy Coimbra Charao
  • Journal Title: J. Diff. Eqns Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Asymptotic profiles for a strongly damped plate equation with lower order perturbation (2015)
  • Author(s): Ryo Ikehata and Marina Soga
  • Journal Title: Communications on Pure and Applied Analysis Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system (2014)
  • Author(s): Y.H. Feng, S. Wang and S. Kawashima
  • Journal Title: Math. Models Meth. Appl. Sci. Volume: 24 Issue: 14 Pages: 2851-2884
  • DOI: 10.1142/s0218202514500390
  • Peer Reviewed
• [Journal Article] Asymptotic profiles for wave equations with strong damping (2014)
  • Author(s): Ryo Ikehata
  • Journal Title: J. Diff. Eqns Volume: 257 Issue: 6 Pages: 2159-2177
  • DOI: 10.1016/j.jde.2014.05.031
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Global classical solutions for partially dissipative hyperbolic systems of balance laws (2014)
  • Author(s): J. Xu and S. Kawashima
  • Journal Title: Arch. Rat. Mech. Anal. Volume: 211 Issue: 2 Pages: 513-553
  • DOI: 10.1007/s00205-013-0679-8
  • Peer Reviewed / Open Access
• [Journal Article] Diffusive relaxation limit of classical solutions to the damped compressible Euler equations (2014)
  • Author(s): J. Xu and S. Kawashima
  • Journal Title: J. Diff. Equations Volume: 256 Pages: 771-796
  • Peer Reviewed
• [Journal Article] Decay property for the Timoshenko system with Fourier's type heat conduction (2014)
  • Author(s): N. Mori and S. Kawashima
  • Journal Title: J. Hyperbolic Differential Equations Volume: 11 Issue: 01 Pages: 135-157
  • DOI: 10.1142/s0219891614500039
  • Peer Reviewed / Open Access
• [Journal Article] Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation (2014)
  • Author(s): S. Kawashima and Y.-Z. Wang
  • Journal Title: Analysis and Applications Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Mathematical analysis for systems of viscoelasticity and viscothermoelasticity (2014)
  • Author(s): S. Kawashima
  • Journal Title: Proceedings of the conference "Mathematical Fluid Dynamics and Nonlinear Wave" Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Optimal decay rates for the system of elastic waves in ${\bf R}^{n}$ with structural damping. (2014)
  • Author(s): Ryo Ikehata, R. C. Charao and C. R. da Luz
  • Journal Title: J. Evol. Equ. Volume: 14 Issue: 1 Pages: 197-210
  • DOI: 10.1007/s00028-014-0216-8
  • Peer Reviewed
• [Journal Article] Fluid mechanical approximation to the degenerated drif-diffusion and chemotaxis equations in barotoropic model (2014)
  • Author(s): Takayuki Kobayashi and Takayoshi Ogawa
  • Journal Title: Indiana Univ. Math. J. Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Ill-posedness issue for nonlinear Schr\"odinger equation with the quadratic nonlinearity for low dimensions (2014)
  • Author(s): Tsukasa Iwabuchi and Takayoshi Ogawa
  • Journal Title: Trans. Ameri. Math. Soc. Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Modified wave operator for the quadratic nonlinear Schr\"odingier system in two space dimensions, (2014)
  • Author(s): Takayoshi Ogawa and Kota Uriya
  • Journal Title: RIMS Kokyuroku Bessatsu Volume: 印刷中
  • Peer Reviewed
• [Journal Article] Global existence and asymptotic decay of solutions to the nonlinear (2013)
  • Author(s): Y. Liu and S. Kawashima
  • Journal Title: Nonlinear Analysis Volume: 84 Pages: 1-17
  • DOI: 10.1016/j.na.2013.02.005
  • Peer Reviewed / Open Access
• [Journal Article] Global well-posedness in critical Besov spaces for two-fluid Euler-Maxwell equations (2013)
  • Author(s): .J. Xu, J. Xiong and S. Kawashima
  • Journal Title: SIAM J. Math. Anal. Volume: 45 Pages: 1422-1447
  • Peer Reviewed
• [Journal Article] Asymptotic behavior of solutions to the generalized (2013)
  • Author(s): M. Kato, Y.-Z. Wang and S. Kawashima
  • Journal Title: Kinetic and Related Models Volume: 6 Issue: 4 Pages: 969-987
  • DOI: 10.3934/krm.2013.6.969
  • Peer Reviewed / Open Access
• [Journal Article] Spectral properties of the linearized compressible Navier-Stokes equation around time-periodic parallel flow (2013)
  • Author(s): Jan Brezina and Yoshiyuki Kagei
  • Journal Title: J. Differential Equations Volume: 255 Issue: 6 Pages: 1132-1195
  • DOI: 10.1016/j.jde.2013.04.036
  • Peer Reviewed
• [Journal Article] Energy estimate for a linear symmetric hyperbolic-parabolic system in half line (2013)
  • Author(s): T. Nakamura and S. Nishibata
  • Journal Title: Kinet. Relat. Models Volume: 6 Issue: 4 Pages: 883-892
  • DOI: 10.3934/krm.2013.6.883
  • Peer Reviewed
• [Journal Article] Wave equations with strong damping in Hilbert spaces. (2013)
  • Author(s): Ryo Ikehata, G. Todorova, and B. Yordanov,
  • Journal Title: J. Differential Equations Volume: 254 Issue: 8 Pages: 3352-3368
  • DOI: 10.1016/j.jde.2013.01.023
  • Peer Reviewed
• [Journal Article] Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space. (2013)
  • Author(s): R. C. Charao, C. R. da Luz and Ryo Ikehata
  • Journal Title: J. Math. Anal. Appl. Volume: 408 Issue: 1 Pages: 247-255
  • DOI: 10.1016/j.jmaa.2013.06.016
  • Peer Reviewed
• [Journal Article] New decay rates for a problem of plate dynamics with fractional damping. (2013)
  • Author(s): R. C. Charao, C. R. da Luz and Ryo Ikehata
  • Journal Title: J. Hyperbolic Differ. Equ. Volume: 10 Issue: 03 Pages: 1-13
  • DOI: 10.1142/s0219891613500203
  • Peer Reviewed
• [Journal Article] Regularity and asymptotic stability for the Keller-Segel system of degenerate type with critical nonlinearity (2013)
  • Author(s): Masashi Mizuno and Takayoshi Ogawa
  • Journal Title: J. Math. Sci Univ. Tokyo Volume: 20 Pages: 1-59
  • Peer Reviewed
• [Journal Article] Optimal decay rate of the energy for wave equations with critical potential (2013)
  • Author(s): R. Ikehata
  • Journal Title: Journal of the Mathematical Society of Japan Volume: 65 Issue: 1 Pages: 183-236
  • DOI: 10.2969/jmsj/06510183
  • NAID: 10031177278
  • ISSN: 0025-5645, 1881-1167, 1881-2333
  • Peer Reviewed
• [Journal Article] The initial value problem for some hyperbolic-dispersive system (2012)
  • Author(s): S. Kawashima
  • Journal Title: Math. Meth. Appl. Sci. Volume: 35 Pages: 125-133
  • Peer Reviewed
• [Journal Article] Decay property for the Timoshenko system with memory-type dissipation (2012)
  • Author(s): Y. Liu
  • Journal Title: Math. Models Meth. Appl. Sci. Volume: 22
  • Peer Reviewed
• [Journal Article] Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its applications (2012)
  • Author(s): Y. Ueda
  • Journal Title: Arch. Rat. Mech. Anal. Volume: 205 Issue: 1 Pages: 239-266
  • DOI: 10.1007/s00205-012-0508-5
  • Peer Reviewed
• [Journal Article] Decay estimates of solutions for quasi-linear hyperbolic systems of viscoelasticity (2012)
  • Author(s): P.M.N. Dharmawardane
  • Journal Title: SIAM J. Math. Anal. Volume: 44 Issue: 3 Pages: 1976-2001
  • DOI: 10.1137/11083900x
  • Peer Reviewed
• [Journal Article] Dissipative structure of the regularity-loss type and time asymptotic decay of solutions for the Euler-Maxwell system (2012)
  • Author(s): Y. Ueda
  • Journal Title: SIAM J. Math. Anal. Volume: 44 Issue: 3 Pages: 2002-2017
  • DOI: 10.1137/100806515
  • Peer Reviewed
• [Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space (2012)
  • Author(s): R. Kobayashi
  • Journal Title: ESAIM: Control, Optimisation and Calculus of Variations Volume: 18 Issue: 4 Pages: 1097-1121
  • DOI: 10.1051/cocv/2011191
  • Peer Reviewed
• [Journal Article] On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis (2012)
  • Author(s): Yoshiyuki Kagei
  • Journal Title: J. Differential Equations Volume: 253 Issue: 11 Pages: 2951-2992
  • DOI: 10.1016/j.jde.2012.08.028
  • NAID: 120005039071
  • Peer Reviewed
• [Journal Article] Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a parallel flow (2012)
  • Author(s): Yoshiyuki Kagei
  • Journal Title: Arch. Rational Mech. Anal. Volume: 205 Issue: 2 Pages: 585-650
  • DOI: 10.1007/s00205-012-0516-5
  • NAID: 120005068801
  • Peer Reviewed
• [Journal Article] Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow (2012)
  • Author(s): Jan Brezina
  • Journal Title: Math. Models Meth. Appl. Sci. Volume: 22 Issue: 07
  • DOI: 10.1142/s0218202512500078
  • Peer Reviewed
• [Journal Article] Energy decay estimates for wave equations with a fractional damping (2012)
  • Author(s): R. Ikehata
  • Journal Title: Differential and Integral Eqns Volume: 25 Pages: 939-956
  • Peer Reviewed
• [Journal Article] Decay property for the Timoshenko system with memory-type dissipation (2012)
  • Author(s): Y.Liu
  • Journal Title: Math.Models Meth.Appl.Sci. Volume: 22 Issue: 02
  • DOI: 10.1142/s0218202511500126
  • Peer Reviewed
• [Journal Article] Energy method in the partial Fourier space and application to stability problems in the half space. (2011)
  • Author(s): Y. Ueda, T. Nakamura, S. Kawashima
  • Journal Title: J. Differential Equations Volume: 250 Issue: 2 Pages: 1169-1199
  • DOI: 10.1016/j.jde.2010.10.003
  • Peer Reviewed
• [Journal Article] Global solutions to quasi-linear hyperbolic systems of viscoelasticity (2011)
  • Author(s): P.M.N.Dharmawardane
  • Journal Title: Kyoto J.Math. Volume: 51 Issue: 2 Pages: 467-483
  • DOI: 10.1215/21562261-1214411
  • Peer Reviewed
• [Journal Article] Global existence and decay of solutions for a quasi-linear dissipative plate equation (2011)
  • Author(s): Y.Liu
  • Journal Title: J.Hyperbolic Differential Equations Volume: 8 Issue: 03 Pages: 591-614
  • DOI: 10.1142/s0219891611002500
  • Peer Reviewed
• [Journal Article] Decay property for a plate equation with memory-type dissipation (2011)
  • Author(s): Y.Liu
  • Journal Title: Kinetic and Related Models Volume: 4 Issue: 2 Pages: 531-547
  • DOI: 10.3934/krm.2011.4.531
  • Peer Reviewed
• [Journal Article] Time weighted energy method for quasi-linear hyperbolic systems of viscoelasticity (2011)
  • Author(s): P.M.N.Dharmawardane
  • Journal Title: Proc.Japan Acad. Volume: 87 Issue: 6 Pages: 99-102
  • DOI: 10.3792/pjaa.87.99
  • Peer Reviewed
• [Journal Article] Decay structure for systems of viscoelasticity (2011)
  • Author(s): S.Kawashima
  • Journal Title: Math.Sci.Appl. Volume: 35 Pages: 91-102
  • Peer Reviewed
• [Journal Article] The initial value problem for some hyperbolic-dispersive system (2011)
  • Author(s): Shuichi Kawashima, Chi-Kun Lin, and Jun-ichi Segata
  • Journal Title: Mathematical Methods in Applied Sciences Volume: Vol.35 Issue: 2 Pages: 125-133
  • DOI: 10.1002/mma.1542
  • Peer Reviewed
• [Journal Article] Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance (2011)
  • Author(s): Yoshiyuki Kagei
  • Journal Title: J.Functional Analysis Volume: 260 Issue: 10 Pages: 3036-3096
  • DOI: 10.1016/j.jfa.2011.02.004
  • NAID: 120005007645
  • Peer Reviewed
• [Journal Article] Global existence of solutions to the compressible Navier-Stokes equation around parallel flows (2011)
  • Author(s): Yoshiyuki Kagei
  • Journal Title: J.Differential Equations Volume: 251 Issue: 11 Pages: 3248-3295
  • DOI: 10.1016/j.jde.2011.06.020
  • NAID: 120005068799
  • Peer Reviewed
• [Journal Article] The degenerate drift-diffusion system with the Sobolev critical exponen (2011)
  • Author(s): T. Ogawa
  • Journal Title: Disc. Conti. Dynam. System Ser S. Volume: 4-4 Issue: 4 Pages: 875-886
  • DOI: 10.3934/dcdss.2011.4.875
  • Peer Reviewed
• [Journal Article] Large time behavior of solutions for a system of nonlinear damped wave equations (2011)
  • Author(s): T. Ogawa, H. Takeda,
  • Journal Title: J. Differential Equations Volume: 251 Issue: 11 Pages: 3090-3113
  • DOI: 10.1016/j.jde.2011.07.034
  • Peer Reviewed
• [Journal Article] Brezis-Merle inequalities and application to the global existence of the Keller-Segel equations (2011)
  • Author(s): T. Nagai, T. Ogawa,
  • Journal Title: Comm. Contemporary Math. Volume: 13 Issue: 05 Pages: 1-18
  • DOI: 10.1142/s0219199711004440
  • Peer Reviewed
• [Journal Article] Energy decay rates of elastic waves in unbounded domain with potential type of damping (2011)
  • Author(s): Ruy C.Charao
  • Journal Title: J.Math.Anal.Appl. Volume: 380 Issue: 1 Pages: 46-56
  • DOI: 10.1016/j.jmaa.2011.02.075
  • Peer Reviewed
• [Journal Article] Traveling waves for models of phase transitions of solids driven by configurational forces (2011)
  • Author(s): S.Kawashima
  • Journal Title: Discrete Continuous Dynamical Systems, B Volume: 15 Pages: 309-323
  • Peer Reviewed
• [Journal Article] Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation (2011)
  • Author(s): Y.Liu
  • Journal Title: Discrete Continuous Dynamical Systems, A Volume: 29 Pages: 1113-1139
  • Peer Reviewed
• [Journal Article] Asymptotic behavior of solutions to a model system of a radiating gas (2011)
  • Author(s): Y.Liu
  • Journal Title: Comm.Pure Appl.Anal. Volume: 10 Pages: 209-223
  • Peer Reviewed
• [Journal Article] The degenerate drift-diffusion system with the Sobolev critical exponent (2011)
  • Author(s): T.Ogawa
  • Journal Title: Discrete Continuous Dynamical Systems, S Volume: 4 Pages: 875-886
  • Peer Reviewed
• [Journal Article] Stability of degenerate stationary waves for viscous gases (2010)
  • Author(s): Y.Ueda
  • Journal Title: Arch.Rat.Mech.Anal. Volume: 198 Pages: 735-762
  • Peer Reviewed
• [Journal Article] Decay property for second order hyperbolic systems of viscoelastic materials (2010)
  • Author(s): P.M.N.Dharmawardane
  • Journal Title: J.Math.Anal.Appl. Volume: 360 Pages: 621-635
  • Peer Reviewed
• [Journal Article] Decay estimates of solutions to a semi-linear dissipative plate equation (2010)
  • Author(s): Y.Sugitani
  • Journal Title: J.Hyperbolic Differential Equations Volume: 7 Pages: 471-501
  • Peer Reviewed
• [Journal Article] Convergence rate toward degenerate stationary wave for compressible viscous gases (2010)
  • Author(s): T.Nakamura
  • Journal Title: Proceedings of the 6th Inter.Conference on Nonlinear Analysis and Convex Analysis Pages: 239-248
  • Peer Reviewed
• [Journal Article] Stationary waves to viscous heat-conductive gases in half space : Existence, stability and convergence rate (2010)
  • Author(s): S.Kawashima
  • Journal Title: Math.Models Meth.Appl.Sci. Volume: 20 Pages: 2201-2235
  • Peer Reviewed
• [Journal Article] Decay estimates on solutions of the linearized compressible Navier-Stokes equation around a Poiseuille type flow (2010)
  • Author(s): Y.Kagei
  • Journal Title: Journal of Math-for-Industry Volume: 2 Pages: 39-56
  • NAID: 120002070480
  • Peer Reviewed
• [Journal Article] Local energy decay for a class of hyperbolic equations with constant coefficients near infinity (2010)
  • Author(s): S.Aikawa
  • Journal Title: Math.Nachr. Volume: 283 Pages: 636-647
  • Peer Reviewed
• [Journal Article] Semilinear parabolic equation associated with critical Sobolev exponent (2010)
  • Author(s): R.Ikehata
  • Journal Title: Annales de l'Institut Henri Poincare, Analyse Non Lineaire Volume: 27 Pages: 877-900
  • Peer Reviewed
• [Journal Article] Global existence of solutions for a system of nonlinear damped wave equations (2010)
  • Author(s): T.Ogawa
  • Journal Title: Differential Integral Equations Volume: 23 Pages: 635-657
  • Peer Reviewed
• [Journal Article] Interpolation inequality of logarithmic type in the abstract Besov spaces and application to semilinear evolution equations (2010)
  • Author(s): T.Matsumoto
  • Journal Title: Math.Nachr. Volume: 283 Pages: 1-19
  • Peer Reviewed
• [Journal Article] End-point maximal regularity and wellposedness of the two dimensional Keller-Segel system in a critical Besov space (2010)
  • Author(s): T.Ogawa
  • Journal Title: Math.Z. Volume: 264 Pages: 601-628
  • Peer Reviewed
• [Journal Article] L^p-L^q type estimate for the fractional order Laplacian in the Hardy space and global existence of the dissipative quasi-geostrophic equation (2010)
  • Author(s): H.Hayashi
  • Journal Title: Adv.Differ.Equ.Control Process Volume: 5 Pages: 1-36
  • Peer Reviewed
• [Journal Article] Dissipative structure of the regularity-loss type and time asymptotic decay of solutions for the Euler-Maxwell system
  • Author(s): Y.Ueda
  • Journal Title: SIAM J.Math.Anal. Volume: (in press)
  • Peer Reviewed
• [Journal Article] Decay property of regularity-loss type for the Euler Maxwell system
  • Author(s): Y.Ueda
  • Journal Title: Methods and Applications of Analysis Volume: (in press)
  • Peer Reviewed
• [Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space
  • Author(s): R.Kobayashi
  • Journal Title: ESAIM : Control, Optimisation and Calculus of Variations Volume: (in press)
  • Peer Reviewed
• [Journal Article] Decay structure for symmetric hyperbolic systems with non-symmetric relaxation and its applications
  • Author(s): Y.Ueda
  • Journal Title: Arch.Rat.Mech.Anal. Volume: (in press)
  • Peer Reviewed
• [Journal Article] Decay properties of solutions to the linearized compressible Navier-Stokes equation around time-periodic parallel flow
  • Author(s): Jan Brezina
  • Journal Title: Math.Models Meth.Appl.Sci. Volume: (in press)
  • Peer Reviewed
• [Journal Article] Stationary wave to inflow problem in half line for viscous heat-conductive gas
  • Author(s): T.Nakamura
  • Journal Title: Journal of Hyperbolic Differential Equations Volume: (in press)
  • Peer Reviewed
• [Journal Article] Optimal decay rate of the energy for wave equations with critical potential
  • Author(s): R.Ikehata
  • Journal Title: J.Math.Soc.Japan Volume: (in press)
  • NAID: 10031177278
  • Peer Reviewed
• [Journal Article] Energy method in the partial Fourier space and application to stability problems in the half space
  • Author(s): Y.Ueda
  • Journal Title: J.Diff.Equations Volume: (in press)
  • Peer Reviewed
• [Journal Article] Global solutions to quasi-linear hyperbolic systems of viscoelasticity
  • Author(s): P.M.N. Dharmawardane
  • Journal Title: Kyoto J.Math. Volume: (in press)
  • Peer Reviewed
• [Journal Article] Global existence and decay of solutions for a quasi-linear dissipative plate equation
  • Author(s): Y.Liu
  • Journal Title: J.Hyperbolic Differential Equations Volume: (in press)
  • Peer Reviewed
• [Journal Article] Decay structure for systems of viscoelasticity
  • Author(s): S.Kawashima
  • Journal Title: Math.Sci.Appl. Volume: (in press)
  • Peer Reviewed
• [Journal Article] Decay property for a plate equation with memory-type dissipation
  • Author(s): Y.Liu
  • Journal Title: Kinetic and Related Models Volume: (in press)
  • Peer Reviewed
• [Journal Article] Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance
  • Author(s): Y.Kagei
  • Journal Title: J.Functional Analysis Volume: (in press)
  • NAID: 120005007645
  • Peer Reviewed
• [Journal Article] Stationary wave to inflow problem in half line for viscous heat-conductivegas
  • Author(s): T.Nakamura
  • Journal Title: J.Hyperbolic Differential Equations Volume: (in press)
  • Peer Reviewed
• [Presentation] Boundary layer solution to symmetric hyperbolic-parabolic system (2015)
  • Author(s): T.Nakamura
  • Organizer: Recent development of mathematical fluid dynamics and hyperbolicconservation laws
  • Place of Presentation: National Institute for Mathematical Science, Korea
  • Year and Date: 2015-03-25
  • Invited
• [Presentation] Dissipative structure and nonlinear stability for the dissipative Timoshenko system (2015)
  • Author(s): 森直文, 川島秀一
  • Organizer: 日本数学会年会
  • Place of Presentation: 明治大学駿河台キャンパス、東京都千代田区
  • Year and Date: 2015-03-21 – 2015-03-24
• [Presentation] Instability of plane Poiseuille flow in viscous compressible gas (2015)
  • Author(s): 隠居良行，西田孝明
  • Organizer: 日本数学会年会，函数方程式論分科会
  • Place of Presentation: 明治大学、東京都千代田区
  • Year and Date: 2015-03-21 – 2015-03-24
• [Presentation] Pseudo conformal structure and mass resonance for two dimensional quadratic nonlinear Schr"odinger system (2015)
  • Author(s): T. Ogawa
  • Organizer: Workshop for Nonlinear Partial Differential Equations in Zhejiang University
  • Place of Presentation: Zhejiang University (浙江大学), 杭州市, 中華人民共和国
  • Year and Date: 2015-03-14 – 2015-03-15
  • Invited
• [Presentation] Hardy-Littlewood-Sobolevの不等式の最良定数と退化移流拡散方程式の大域可解性と解の挙動について (2015)
  • Author(s): 小川卓克
  • Organizer: 第7回福島応用数学研究集会
  • Place of Presentation: コラッセ福島, 福島市
  • Year and Date: 2015-03-06 – 2015-03-07
  • Invited
• [Presentation] Asymptotic profiles for a strongly damped plate equation with lower order perturbation (2015)
  • Author(s): 池畠良
  • Organizer: 日本数学会中国・四国支部会
  • Place of Presentation: 徳島大学、徳島市
  • Year and Date: 2015-01-25
• [Presentation] On the stability of viscous compressible flow (2014)
  • Author(s): 隠居良行
  • Organizer: 月曜解析セミナー
  • Place of Presentation: 東北大学理学部、仙台市
  • Year and Date: 2014-12-15
  • Invited
• [Presentation] On the stability of viscous compressible flow (2014)
  • Author(s): Yoshiyuki Kagei
  • Organizer: International Workshop on Nonlinear Partial Differential Equations
  • Place of Presentation: Okayama International center、Okayama
  • Year and Date: 2014-12-10 – 2014-12-12
  • Invited
• [Presentation] Ill-posedness for quadratic nonlinear Schr ¨ odinger equations in lower dimension and related topics (2014)
  • Author(s): T.Ogawa
  • Organizer: Taiwanese Mathematical Society Annual Meeting
  • Place of Presentation: National ChungKang University, 台南市, 中華民国
  • Year and Date: 2014-12-06 – 2014-12-07
  • Invited
• [Presentation] On the stability of viscous compressible flow (2014)
  • Author(s): 隠居良行
  • Organizer: さいたま数理解析セミナー
  • Place of Presentation: 大宮ソニックシティ5階（埼玉大学サテライトキャンパス）、さいたま市
  • Year and Date: 2014-12-03
  • Invited
• [Presentation] Timoshenko 系の非線形安定性に関する最近の進展 (2014)
  • Author(s): 川島秀一
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 小倉リーセントホテル, 北九州
  • Year and Date: 2014-11-29
  • Invited
• [Presentation] Threshold for the global behabior of the weak solution for degenerate drift-diffusion system in between two critical exponents (2014)
  • Author(s): Takayoshi Ogawa
  • Organizer: Oberseminar Angewandte Analysis
  • Place of Presentation: Martin Lutar-University at Halle-Wittenberg、ドイツ
  • Year and Date: 2014-11-26
  • Invited
• [Presentation] Dissipative structure and nonlinear stability for the Timoshenko system (2014)
  • Author(s): S. Kawashima
  • Organizer: PDE seminar
  • Place of Presentation: City University of Hong Kong, Hong Kong
  • Year and Date: 2014-11-21
  • Invited
• [Presentation] Asymptotic profiles of solutions to some hyperbolic type equations (2014)
  • Author(s): S. Kawashima
  • Organizer: PDE seminar
  • Place of Presentation: Chinese University of Hong Kong, Hong Kong
  • Year and Date: 2014-11-20
  • Invited
• [Presentation] Global existence and optimal decay of solutions to the dissipative Timoshenko system (2014)
  • Author(s): 川島秀一
  • Organizer: 微分方程式セミナー
  • Place of Presentation: 大阪大学理学部、吹田市
  • Year and Date: 2014-11-07
  • Invited
• [Presentation] Threshold for the global behavior of solution to degenerate Keller-Segel (drift-diffusion) system in between critical exponents (2014)
  • Author(s): T. Ogawa
  • Organizer: Mathematical Approaches to Pattern Formation
  • Place of Presentation: Tohoku University, Sendai, Japan
  • Year and Date: 2014-10-28 – 2014-10-31
  • Invited
• [Presentation] Threshold for the large time behavior of solutions to degenerate driff-diffusion system in between critical exponents (2014)
  • Author(s): T. Ogawa
  • Organizer: Mathematics for Fluid Dynamics
  • Place of Presentation: University de Lyon I, Lyon, France
  • Year and Date: 2014-10-20 – 2014-10-23
  • Invited
• [Presentation] On asymptotic behavior of solutions to the compressible Navier-Stokesequations on a periodic layer (2014)
  • Author(s): 隠居良行
  • Organizer: Seminar on Nonlinear Analysis at O-okayama
  • Place of Presentation: 東京工業大学、東京都目黒区
  • Year and Date: 2014-10-20
  • Invited
• [Presentation] Besov空間とその応用について (2014)
  • Author(s): 小川卓克
  • Organizer: 福岡大学函数解析セミナ-
  • Place of Presentation: 福岡大学、福岡市
  • Year and Date: 2014-10-11
  • Invited
• [Presentation] Global existence and optimal decay of solutions with minimal regularity for the dissipative Timoshenko system (2014)
  • Author(s): 川島秀一
  • Organizer: 弘前解析セミナー
  • Place of Presentation: 弘前大学理工学部、弘前市
  • Year and Date: 2014-10-07
  • Invited
• [Presentation] Decay property for the Timoshenko system with thermal effects: Cattaneo versus Fourier's law (2014)
  • Author(s): 森直文, 川島秀一
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 広島大学、東広島市
  • Year and Date: 2014-09-25 – 2014-09-28
• [Presentation] 周期的層状領域における圧縮性Navier-Stokes方程式の線形化安定性について (2014)
  • Author(s): 榎本翔太，隠居良行
  • Organizer: 日本数学会秋季総合分科会 函数方程式論分科会
  • Place of Presentation: 広島大学、東広島市
  • Year and Date: 2014-09-25 – 2014-09-28
• [Presentation] 放物型方程式の初期値問題に対する最大$L^1$正則性について (2014)
  • Author(s): 小川卓克・清水扇丈
  • Organizer: 日本数学会秋季総合分科会・函数方程式論分科会
  • Place of Presentation: 広島大学、東広島市
  • Year and Date: 2014-09-25 – 2014-09-28
• [Presentation] On asymptotic behavior of solutions to the compressible Navier-Stokes equation in a periodic layer (2014)
  • Author(s): Yoshiyuki Kagei
  • Organizer: Modeling, Analysis and Computing in Nonlinear PDEs
  • Place of Presentation: Chateau Liblice, Czech Republic、チェコ共和国
  • Year and Date: 2014-09-21 – 2014-09-26
  • Invited
• [Presentation] Degenerate boundary layer solutions to symmetric parabolic system (2014)
  • Author(s): T.Nakamura
  • Organizer: Workshop on Mathematical Sciences
  • Place of Presentation: Wayamba University of Sri Lanka
  • Year and Date: 2014-08-31
  • Invited
• [Presentation] Dissipative structure for general systems of partial differential equations with relaxation (2014)
  • Author(s): S. Kawashima
  • Organizer: Wayamba International Conference WinC-2014
  • Place of Presentation: Wayamba University of Sri Lanka, Kuliyapitiya, Sri Lanka
  • Year and Date: 2014-08-29 – 2014-08-30
  • Invited
• [Presentation] Stationary solution to a symmetric hyperbolic-parabolic system in half line (2014)
  • Author(s): T.Nakamura
  • Organizer: Wayamba International Conference
  • Place of Presentation: Wayamba University of Sri Lanka
  • Year and Date: 2014-08-29
• [Presentation] Maximal $L^1$ Regularity for the Cauchy Problem of Parabolic Equations (2014)
  • Author(s): T.Ogawa
  • Organizer: Mathamatical Theory of Gas and Fluids and Related Applications
  • Place of Presentation: Chung-Ang University, Korea
  • Year and Date: 2014-08-10 – 2014-08-12
  • Invited
• [Presentation] End-point maximal $L^1$ regularity for parabolic equations and optimality (2014)
  • Author(s): T. Ogawa
  • Organizer: 9th East Asia Partial Differential Equations conference
  • Place of Presentation: Hotel Nikko Nara, Nara, Japan
  • Year and Date: 2014-07-28 – 2014-07-31
  • Invited
• [Presentation] 変数係数放物型方程式の$L^1$最大正則性 (2014)
  • Author(s): 小川卓克
  • Organizer: 秋田における偏微分方程式集中ワークショップ,第二回北海道-東北偏微分方程式論コンソーシアムセミナー
  • Place of Presentation: 秋田大学 教育人文学部、秋田市
  • Year and Date: 2014-07-11 – 2014-07-13
  • Invited
• [Presentation] Asymptotic profiles for wave equations with strong damping (2014)
  • Author(s): R. Ikehata
  • Organizer: 第10回ＡＩＭＳ Conference
  • Place of Presentation: Madrid, Spain
  • Year and Date: 2014-07-11
  • Invited
• [Presentation] Stationary wave to system of viscous conservation laws in half line (2014)
  • Author(s): 中村徹
  • Organizer: RIMS研究集会「流体と気体の数学解析」
  • Place of Presentation: 京都大学数理解析研究所、京都市
  • Year and Date: 2014-07-04
  • Invited
• [Presentation] Dissipative structure for symmetric hyperbolic systems with relaxation (2014)
  • Author(s): S. Kawashima
  • Organizer: SPS-DFG Japanese-German Graduate Externship Kickoff Meeting
  • Place of Presentation: Waseda University, Tokyo, Japan
  • Year and Date: 2014-06-17 – 2014-06-18
  • Invited
• [Presentation] 放物型方程式の初期値問題の端点最大正則性について (2014)
  • Author(s): 小川卓克
  • Organizer: 愛媛大学 理学部 松山解析セミナー
  • Place of Presentation: 愛媛大学 理学部、松山市
  • Year and Date: 2014-05-24
  • Invited
• [Presentation] Asymptotic behavior of solutions to nonlinear partial differential equations with dissipation (2014)
  • Author(s): 川島秀一
  • Organizer: 第3回偏微分方程式レクチャーシリーズ in 福岡工業大学
  • Place of Presentation: 福岡工業大学、福岡市
  • Year and Date: 2014-05-17 – 2014-05-18
  • Invited
• [Presentation] Open problems on the asymptotic profiles of solutions to a certain hyperbolic equation with dissipation (2014)
  • Author(s): 川島秀一
  • Organizer: 解析セミナー
  • Place of Presentation: 九州大学数理学研究院、福岡市
  • Year and Date: 2014-04-14
  • Invited
• [Presentation] 熱方程式の最大正則性とその応用 (2014)
  • Author(s): 小川卓克
  • Organizer: 函館における偏微分方程式集中ワークショップ,第一回北海道-東北偏微分方程式論コンソーシアムセミナー
  • Place of Presentation: はこだて未来大学、函館市
  • Year and Date: 2014-04-05 – 2014-04-07
  • Invited
• [Presentation] Asymptotic behavior of solutions to some hyperbolic type equations (2014)
  • Author(s): 川島秀一
  • Organizer: 平成25年度藤田保健衛生大学数理講演会
  • Place of Presentation: 藤田保健衛生大学病院外来棟, 豊明市
  • Invited
• [Presentation] Asymptotic behavior of solutions to some hyperbolic type equations (2014)
  • Author(s): 川島秀一
  • Organizer: 熊本大学応用解析セミナー
  • Place of Presentation: 熊本大学
  • Invited
• [Presentation] Stationary wave to systems of viscous conservation laws in half line (2014)
  • Author(s): T. Nakamura
  • Organizer: IMS Workshop on Nonlinear PDEs from Fluids and Related Topics
  • Place of Presentation: Chinese University of Hong Kong
  • Invited
• [Presentation] 熱方程式の初期値問題の$L^1$ 最大正則性原理の最適性について (2014)
  • Author(s): 小川卓克
  • Organizer: 日本数学会 2014年度年会 実関数論分科会 一般講演
  • Place of Presentation: 学習院大学, 東京都
• [Presentation] Asymptotic profile of solutions to the generalized cubic double dispersion equation (2013)
  • Author(s): 川島秀一
  • Organizer: 広島微分方程式研究会
  • Place of Presentation: 広島大学
  • Invited
• [Presentation] Asymptotic profile of solutions to the generalized cubic double dispersion equation (2013)
  • Author(s): S. Kawashima
  • Organizer: RIMS Workshop: Kinetic Modeling and Related Equations: Conference in Memory of Seiji Ukai
  • Place of Presentation: Rakuyu Kaikan, Kyoto, Japan
  • Invited
• [Presentation] ある高階の双曲型方程式について (2013)
  • Author(s): 川島秀一
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: KMMビル, 北九州
  • Invited
• [Presentation] Existence and stability of time-periodic solution of the compressible Navier-Stokes equation (2013)
  • Author(s): Yoshiyuki Kagei
  • Organizer: The 6th Pacific RIM Conference on Mathematics 2013
  • Place of Presentation: 札幌コンベンションセンター
  • Invited
• [Presentation] Existence and stability of time-periodic solution of the compressible Navier-Stokes equation (2013)
  • Author(s): Kazuyuki Tsuda
  • Organizer: 日本数学会2013年度秋季総合分科会
  • Place of Presentation: 愛媛大学
• [Presentation] Boundary layer solution to system of viscous conservation laws in half line (2013)
  • Author(s): T. Nakamura
  • Organizer: 研究集会「第9回非線型の諸問題」
  • Place of Presentation: 高知大学
  • Invited
• [Presentation] Stationary wave to systems of viscous conservation laws in half line (2013)
  • Author(s): T. Nakamura
  • Organizer: RIMS Workshop ``Kinetic Modeling and Related Equations: Conference in Memory of Seiji Ukai''
  • Place of Presentation: 京都大学
  • Invited
• [Presentation] 1次元対称双曲放物型連立系に現れる境界層解について (2013)
  • Author(s): 中村徹
  • Organizer: 第3回室蘭非線形解析研究会
  • Place of Presentation: 室蘭工業大学
  • Invited
• [Presentation] 消散的な対称双曲放物型連立系に現れる定常波の存在性と漸近安定性 (2013)
  • Author(s): 中村徹
  • Organizer: 第11回浜松偏微分方程式研究集会
  • Place of Presentation: 静岡大学
  • Invited
• [Presentation] 非線型シュレディンガー方程式の低次元非適切性と関連する話題 (2013)
  • Author(s): 小川卓克
  • Organizer: 弘前大学 理学部 第五回 解析セミナー
  • Place of Presentation: 弘前大・理
  • Invited
• [Presentation] $L^1$ maximal regularity and the local existence result for the compressible Navier-Stokes-Poisson system in a critical space (2013)
  • Author(s): 小川卓克
  • Organizer: 第38回 札幌における偏微分方程式研究集会
  • Place of Presentation: 北海道大学 理学研究科
  • Invited
• [Presentation] Ill-posedness for quadratic nonlinear Schr\"odinger equation in low dimensions (2013)
  • Author(s): Takayoshi Ogawa
  • Organizer: University of Califorina Santa Barbara
  • Place of Presentation: PDE seminar, Santa Barbara, CA, USA
  • Invited
• [Presentation] Existence of solution to compressible Navier-Stokes-Poisson system in a critical space and $L^1$ maximal regularity (2013)
  • Author(s): 小川卓克
  • Organizer: 研究集会 Liner and Nonlinear Waves
  • Place of Presentation: ピアザ淡海
  • Invited
• [Presentation] Mathematical Analysis of Nonlinear Partial Differential Equations"\\``$L^1$ maximal regularity and the local existence result for the compressible Navier-Stokes-Poisson system in a critical space”, (2013)
  • Author(s): Takayoshi Ogawa
  • Organizer: Mathematical Analysis of Nonlinear Partial Differential Equations
  • Place of Presentation: Kyushu University, Fukuoka
  • Invited
• [Presentation] Threshold for the large time behavior of solutions to degenerate drift-diffusion system in between critical exponents (2013)
  • Author(s): 小川卓克
  • Organizer: 金沢大学 理学部 解析セミナー
  • Place of Presentation: 金沢大学, 金沢市
  • Invited
• [Presentation] Threshold for the large time behavior of solutions to degenerate drift-diffusion system in between critical exponents (2013)
  • Author(s): 小川卓克
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: KMMビル, 北九州
  • Invited
• [Presentation] Mathematical anaysis for systems of viscoelasticity and viscothermoelasticity (2013)
  • Author(s): S. Kawashima
  • Organizer: ERC-Numeriwaves Seminar
  • Place of Presentation: BCAM, Bilbao, Basque Country, Spain
  • Invited
• [Presentation] On large time behavior of solutions to the compressible Navier-Stokes equation around a time-periodic parallel flow (2013)
  • Author(s): Yoshiyuki Kagei
  • Organizer: RIMS研究集会「非圧縮流の数理解析」
  • Place of Presentation: 京都大学数理解析研究所
  • Invited
• [Presentation] ``Local existence result for the compressible Navier-Stokes-Poisson system in a critical case" (2013)
  • Author(s): T. Ogawa
  • Organizer: CAU-Kyoto workshop for PDE.
  • Place of Presentation: Chung-Ang University, Seoul, Korea
  • Invited
• [Presentation] ``Global existence and blow up for a weak solution to degenerate drift-diffsion system between two critical cases" (2013)
  • Author(s): T. Ogawa
  • Organizer: PDE seminar
  • Place of Presentation: University of Sydney
  • Invited
• [Presentation] ``WKB approximation for nonlinear Schr\"odinger-Poisson system in two space dimensions" (2013)
  • Author(s): T. Ogawa
  • Organizer: PDE seminar
  • Place of Presentation: University of California Santa Barbara
  • Invited
• [Presentation] History and recent trends on damped wave equations (2013)
  • Author(s): R. Ikehata
  • Organizer: Mini-Course in Summer School 2013
  • Place of Presentation: Department of Mathematics, Federal Univ. Santa Catarina, Brazil
  • Invited
• [Presentation] 空間逆二乗特異ポテンシャルを持つSchr￥"odinger半群のL^p型消散評価と非線形熱方程式の藤田指数 (2012)
  • Author(s): 小川卓克
  • Organizer: 熊本大学大学院自然科学研究科先端科学特別講義
  • Place of Presentation: 熊本大学理学部(招待講演)
  • Year and Date: 2012-02-04
• [Presentation] Dissipative structure for symmetric hyperbolic systems (2012)
  • Author(s): S. Kawashima
  • Organizer: Workshop Nonlinear Waves and Their Stability
  • Place of Presentation: University of Konstanz, Konstanz, Germany
  • Invited
• [Presentation] Decay property for systems of viscoelasticity and viscothermoelasticity (2012)
  • Author(s): S. Kawashima
  • Organizer: International Conference "Mathematical Fluid Dynamics and Nonlinear Wave"
  • Place of Presentation: Waseda University, Tokyo
  • Invited
• [Presentation] Stationary solutions to the Euler-Maxwell system (2012)
  • Author(s): 川島秀一
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 小倉リーセントホテル
  • Invited
• [Presentation] Asymptotic behavior of solutions to the compressible Navier-Stokes equation around a time-periodic parallel flow (2012)
  • Author(s): Jan Brezina
  • Organizer: 日本数学会秋季総合分科会 函数方程式論分科会 一般講演
  • Place of Presentation: 九州大学
• [Presentation] Asymptotic behavior of solutions of the compressible Navier-Stokes equation around parallel flows (2012)
  • Author(s): Yoshiyuki Kagei
  • Organizer: 2012 Fall Trimester Applied Math Colloquium
  • Place of Presentation: School of Technology Management (UNIST) Ulsan, Republic of Korea
  • Invited
• [Presentation] 半直線上の粘性的保存則系に対する定常解の存在性と漸近安定性 (2012)
  • Author(s): 中村 徹
  • Organizer: 非線形解析セミナー@大岡山
  • Place of Presentation: 東京工業大学
  • Invited
• [Presentation] Boundary layer solution to systems of viscous conservation laws in half line (2012)
  • Author(s): T. Nakamura
  • Organizer: 14th International Conference on Hyperbolic Problems : Theory, Numerics, Applications
  • Place of Presentation: University of Padova, Italy
• [Presentation] Boundary layer solution to the symmetric hyperbolic-parabolic system (2012)
  • Author(s): T. Nakamura
  • Organizer: The 7th Japanese--German International Workshop on Mathematical Fluid Dynamics
  • Place of Presentation: 早稲田大学
  • Invited
• [Presentation] ``Ill-posedness problem for quadratic nonlinear Schr\"odinger equation in two space dimensions" (2012)
  • Author(s): 小川卓克
  • Organizer: 東北大学 応用解析セミナー
  • Place of Presentation: 東北大学 理学部
  • Invited
• [Presentation] ``2次元非線形偏微分方程式の解の漸近挙動" (2012)
  • Author(s): 小川卓克
  • Organizer: 東北大学 理学研究科 数学専攻 談話会
  • Place of Presentation: 東北大学 理学部
  • Invited
• [Presentation] ``連立非線型Schr\"odinger 方程式系の係数共鳴と解の漸近挙動" (2012)
  • Author(s): 小川卓克
  • Organizer: 室蘭工科大学大学院 数理系 談話会
  • Place of Presentation: 室蘭工科大学 共通教育教室
  • Invited
• [Presentation] ``$L^p$ Dissipative Estimate for the Schr\"odinger Semigroup with critical singular potential" (2012)
  • Author(s): T. Ogawa
  • Organizer: 5th Euro-Japanese Workshop Blow-up in CIRM
  • Place of Presentation: CIRM, Marseille-Luminy, France
  • Invited
• [Presentation] ``Ill-posedness for quadratic nonlinear Schr\"odinger equation in two dimensions" (2012)
  • Author(s): 小川卓克
  • Organizer: 愛媛大学大学院 理学研究科 数理学教室談話会
  • Place of Presentation: 愛媛大学理学部
  • Invited
• [Presentation] ``Existence of solution to the compressible Navier-Stokes-Poisson system and the relation with the drift-diffusion system" (2012)
  • Author(s): T. Ogawa
  • Organizer: MathFlow 2012 in Porquerolles
  • Place of Presentation: Porquerolles, France
  • Invited
• [Presentation] ``3次元圧縮性Navier-Stokes-Poisson 系の臨界強解の存在について" (2012)
  • Author(s): 小川卓克
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 小倉リーセントホテル
  • Invited
• [Presentation] ``非局所型偏微分方程式と実補間空間および最大正則性---非線型偏微分方程式への実解析的方法---" (2012)
  • Author(s): 小川卓克
  • Organizer: 九州 非線形偏微分方程式 冬の学校 ’12 in 神戸
  • Place of Presentation: 神戸大学 海事科学部 神戸市
  • Invited
• [Presentation] ``Besov空間$\dot{B}^0_{\infty,\infty}$でのMeyerの不等式と双線形評価" (2012)
  • Author(s): 小川卓克
  • Organizer: 第6回実解析と函数解析による微分方程式セミナー
  • Place of Presentation: サンヒルズ山形, 山形市
  • Invited
• [Presentation] Energy decay estimates for wave equations with a fractional damping (2012)
  • Author(s): R. Ikehata
  • Organizer: 第9回AIMS Conference at Florida
  • Place of Presentation: Orlando, USA
  • Invited
• [Presentation] Hardy's inequality and L^p dissipative estimate for critically singular Schr￥"odinger semigroup (2012)
  • Author(s): 小川卓克
  • Organizer: Japan-Germany conference for Partial Differential Equations
  • Place of Presentation: Waseda University(招待講演)
• [Presentation] Timoshenko系の消散構造 (2011)
  • Author(s): 川島秀一
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 九州工業大学(招待講演)
  • Year and Date: 2011-11-26
• [Presentation] 非線形Schr￥"odinger-Poisson連立系に対するWKB近似について (2011)
  • Author(s): 小川卓克
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 九州工業大学(招待講演)
  • Year and Date: 2011-11-26
• [Presentation] Asymptotic behavior of solution to the degenerate drift-diffusion equation (2011)
  • Author(s): 小川卓克
  • Organizer: Mathematical Models of Biological Phenomena and their Analysis---Dynamics of structure formation in cells and ecological systems---
  • Place of Presentation: 仙台(招待講演)
  • Year and Date: 2011-11-23
• [Presentation] Stationary wave to the symmetric hyperbolic-parabolic system in halfspace (2011)
  • Author(s): T.Nakamura
  • Organizer: SIAM Conference on "Analysis of Partial Differential Equations"
  • Place of Presentation: San Diego, California, USA(招待講演)
  • Year and Date: 2011-11-15
• [Presentation] Boundary layer solution to systems of viscous conservation laws in half space (2011)
  • Author(s): T.Nakamura
  • Organizer: Third China-Japan Workshop on Mathematical Topics from Fluid Mechanics
  • Place of Presentation: Northwest University, Xi'an, China(招待講演)
  • Year and Date: 2011-10-25
• [Presentation] Recent progress on the decay structure for symmetric hyperbolic systems (2011)
  • Author(s): S.Kawashima
  • Organizer: Seminar at Beijing University of Technology
  • Place of Presentation: Beijing University of Technology, Beijing, China(招待講演)
  • Year and Date: 2011-10-21
• [Presentation] 空間遠方で臨界減衰する摩擦項を持つ波動方程式のエネルギー減衰についての新展開 (2011)
  • Author(s): 池畠良
  • Organizer: 日本数学会函数方程式論分科会秋季総合分科会
  • Place of Presentation: 信州大学理学部(特別講演)
  • Year and Date: 2011-09-30
• [Presentation] Energy decay for wave equations with damping terms decaying critically near infinity (2011)
  • Author(s): 池畠良
  • Organizer: The 4th MSJ-SI "NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS
  • Place of Presentation: 九州大学医学部百年記念講堂(招待講演)
  • Year and Date: 2011-09-18
• [Presentation] 熱伝導圧縮性粘性流体に現れる境界層解の存在性と漸近安定性 (2011)
  • Author(s): 中村徹
  • Organizer: 日本流体力学会年会2011
  • Place of Presentation: 首都大学(招待講演)
  • Year and Date: 2011-09-07
• [Presentation] Asymptotic stability of stationary waves for symmetric hyperbolic-parabolic system in half space (2011)
  • Author(s): T.Nakamura
  • Organizer: RIMS研究集会「流体と気体の数学解析」
  • Place of Presentation: 京都大学数理解析研究所(招待講演)
  • Year and Date: 2011-07-08
• [Presentation] Dissipative estimate for critical singular potential for the Schr￥"odinger semigroup (2011)
  • Author(s): 小川卓克
  • Organizer: 第二回南大阪応用解析セミナー
  • Place of Presentation: 大阪市立大・理(招待講演)
  • Year and Date: 2011-06-20
• [Presentation] Boundary layer solution for compressible viscous and heat-conductive fluid in half space (2011)
  • Author(s): T.Nakamura
  • Organizer: The 3rd Kyushu University-POSTECH Joint Workshop-Partial Differential Equations and Fluid Dynamics
  • Place of Presentation: POSTECH, Pohang, Korea(招待講演)
  • Year and Date: 2011-06-17
• [Presentation] ある変数係数波動方程式のエネルギー減衰率 (2011)
  • Author(s): 池畠良
  • Organizer: 名古屋微分方程式セミナー
  • Place of Presentation: 名古屋大学多元数理科学研究科(招待講演)
  • Year and Date: 2011-06-06
• [Presentation] Decay property of regularity-loss type for symmetric hyperbolic systems with relaxation (2011)
  • Author(s): 川島秀一
  • Organizer: 広島数理解析セミナー
  • Place of Presentation: 広島大学(招待講演)
  • Year and Date: 2011-05-27
• [Presentation] Recent progress on the stability analysis for symmetric hyperbolic Systems (2011)
  • Author(s): S.Kawashima
  • Organizer: Seminar at University of Paris VI
  • Place of Presentation: University of Paris VI, Paris, France
  • Year and Date: 2011-03-16
• [Presentation] Singular limit and asymptotic behavior of solution for a drift-diffusion system (2011)
  • Author(s): 小川卓克
  • Organizer: 熊本大学応用解析セミナー
  • Place of Presentation: 熊本大学
  • Year and Date: 2011-02-19
• [Presentation] 変数係数消散型波動方程式のエネルギー減衰 (2011)
  • Author(s): 池畠良
  • Organizer: 松山解析セミナー2011
  • Place of Presentation: 愛媛大学理工学部
  • Year and Date: 2011-02-04
• [Presentation] 半空間上での双曲・放物型方程式系の解の漸近挙動 (2011)
  • Author(s): 中村徹
  • Organizer: 愛媛大学談話会
  • Place of Presentation: 愛媛大学
  • Year and Date: 2011-01-31
• [Presentation] Asymptotic behavior of solutions to drift-diffusion system of a critical case (2011)
  • Author(s): 小川卓克
  • Organizer: さいたま数理解析セミナー
  • Place of Presentation: 埼玉大学大宮サテライトキャンパス
  • Year and Date: 2011-01-28
• [Presentation] 変数係数消散型波動方程式のエネルギー減衰評価 (2011)
  • Author(s): 池畠良
  • Organizer: 九州関数方程式セミナー
  • Place of Presentation: 福岡大学セミナーハウス
  • Year and Date: 2011-01-21
• [Presentation] Decay property of regularity-loss type for symmetric hyperbolic systems with relaxation (2011)
  • Author(s): S.Kawashima
  • Organizer: The 3rd Kyushu University-POSTECH Joint Workshop on Partial Differential Equations and Fluid Dynamics
  • Place of Presentation: POSTECH, Pohang, Korea(招待講演)
• [Presentation] On the stability of parallel flows of the compressible Navier-Stokes equation (2011)
  • Author(s): 隠居良行
  • Organizer: The 3rd Kyushu University-POSTECH Joint Workshop on Partial Differential Equations and Fluid Dynamics
  • Place of Presentation: POSTECH, Pohang, Korea(招待講演)
• [Presentation] 非対称な緩和項を持つ対称双曲型方程式系の減衰構造 (2011)
  • Author(s): 上田好寛
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 信州大学
• [Presentation] Decay estimates for quasi-linear hyperbolic systems of viscoelasticity (2011)
  • Author(s): P.M.N.Dharmawardane
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 信州大学
• [Presentation] Critical Hardy's inequality and some dissipative estimate for critically singular Schr￥"odinger semigroup (2011)
  • Author(s): 小川卓克
  • Organizer: 広島微分方程式研究会
  • Place of Presentation: 広島大・理(招待講演)
• [Presentation] Degenerate drift-diffusion system for the Sobolev critical case (2011)
  • Author(s): 小川卓克
  • Organizer: 第一回室蘭非線形解析セミナー・チュートリアル講演
  • Place of Presentation: 室蘭工業大学工学研究科(招待講演)
• [Presentation] Hardy's inequality and L^p-L^q type estimate for critically singular Schr￥"odinger semigroup (2011)
  • Author(s): 小川卓克
  • Organizer: 数理物理と微分方程式
  • Place of Presentation: ヒルズサンピア山形(招待講演)
• [Presentation] Semiclassical and zero relaxation limit for the quantum drift-diffusion system (2011)
  • Author(s): T.Ogawa
  • Organizer: 19th Workshop on Differential Equations and its Applications
  • Place of Presentation: Tainan, Taiwan
• [Presentation] Asymptotic behavior of solutions to drift-diffusion system of a critical case (2011)
  • Author(s): 小川卓克
  • Organizer: 研究集会「拡散と移流の数理」
  • Place of Presentation: 亀の井ホテル,別府
• [Presentation] Singular limit for quantum drift-diffusion system (2011)
  • Author(s): 小川卓克
  • Organizer: 名古屋微分方程式研究集会
  • Place of Presentation: 名古屋大学多元数理科学研究科
• [Presentation] 2次元非線形偏微分方程式系の漸近解析 (2011)
  • Author(s): 小川卓克
  • Organizer: 第3回福島応用数学研究集会
  • Place of Presentation: コラッセふくしま,福島
• [Presentation] Recent progress on the stability analysis for symmetric hyperbolic Systems (2010)
  • Author(s): 川島秀一
  • Organizer: 熊本大学理学部談話会
  • Place of Presentation: 熊本大学
  • Year and Date: 2010-12-15
• [Presentation] On asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 大阪大学セミナー
  • Place of Presentation: 大阪大学
  • Year and Date: 2010-12-01
• [Presentation] A new type decay structure for symmetric hyperbolic systems (2010)
  • Author(s): 川島秀一
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 九州工業大学
  • Year and Date: 2010-11-13
• [Presentation] 非回帰的Banach空間における最大正則性原理とその応用について (2010)
  • Author(s): 小川卓克
  • Organizer: 北九州地区における偏微分方程式研究集会
  • Place of Presentation: 九州工業大学
  • Year and Date: 2010-11-13
• [Presentation] Recent development on the stability analysis for symmetric hyperbolic systems (2010)
  • Author(s): 川島秀一
  • Organizer: NAセミナー
  • Place of Presentation: 慶応大学数理科学科
  • Year and Date: 2010-10-27
• [Presentation] Asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 名古屋大学
  • Year and Date: 2010-09-25
• [Presentation] 半空間における圧縮性粘性流体の漸近挙動について (2010)
  • Author(s): 中村徹
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 名古屋大学(特別講演)
  • Year and Date: 2010-09-25
• [Presentation] 一般化された最大正則性評価とその応用について (2010)
  • Author(s): 小川卓克
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 名古屋大学(解析学賞受賞特別講演)
  • Year and Date: 2010-09-24
• [Presentation] 圧縮性Navier-Stokes方程式の解の漸近挙動 (2010)
  • Author(s): 隠居良行
  • Organizer: 広島大学理学部数学教室談話会
  • Place of Presentation: 広島大学理学部
  • Year and Date: 2010-07-20
• [Presentation] Asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 応用解析研究会
  • Place of Presentation: 早稲田大学理工学部
  • Year and Date: 2010-07-03
• [Presentation] Asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 愛媛解析セミナー
  • Place of Presentation: 愛媛大学理学部
  • Year and Date: 2010-06-25
• [Presentation] Stationary waves for viscous heat-conductive gases in half line (2010)
  • Author(s): T.Nakamura
  • Organizer: 13th International Conference on Hyperbolic Problems : Theory, Numerics, Applications
  • Place of Presentation: Xijiao Hotel, Beijing, P.R.China
  • Year and Date: 2010-06-18
• [Presentation] 空間遠方で臨界減衰する摩擦項をもつ線型波動方程式のエネルギーの基礎的減衰評価 (2010)
  • Author(s): 池畠良
  • Organizer: 応用解析セミナー
  • Place of Presentation: 熊本大学
  • Year and Date: 2010-05-15
• [Presentation] Optimal decay rate of the energy for linear wave equations with a critical potential (2010)
  • Author(s): R.Ikehata
  • Organizer: 8th AIMS International Conference in Dresden
  • Place of Presentation: Dresden, Germany
• [Presentation] The critical case of the drift-diffusion system of degenerate type (2010)
  • Author(s): T.Ogawa
  • Organizer: 8th AIMS International Conference in Dresden
  • Place of Presentation: Dresden, Germany
• [Presentation] Asymptotic behavior of solutions of the drift-diffusion system of degenerate type (2010)
  • Author(s): T.Ogawa
  • Organizer: SIAM Emerging Topics in Dynamical Systems and PDE'10
  • Place of Presentation: Barcelona, Spain
• [Presentation] Drift-diffusion system in critical cases (2010)
  • Author(s): T.Ogawa
  • Organizer: Fourth Workshop on Nonlinear Partial Differential Equations : Analysis, Computation and Applications
  • Place of Presentation: National Taiwan Univ., Taipei, Taiwan
• [Presentation] Decay property for a quasi-linear dissipative plate equation (2010)
  • Author(s): S.Kawashima
  • Organizer: Fourth Workshop on Nonlinear Partial Differential Equations : Analysis, Computation and Applications
  • Place of Presentation: National Taiwan Univ., Taipei, Taiwan
• [Presentation] Asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): Y.Kagei
  • Organizer: 13th International Conference on Hyperbolic Problems : Theorym Numerics, Applications
  • Place of Presentation: Beijing, China
• [Presentation] Decay property for some hyperbolic-type equations with dissipation (2010)
  • Author(s): 川島秀一
  • Organizer: 研究集会「流体と気体の数学解析」
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Global solutions to a quasi-linear dissipative plate equation (2010)
  • Author(s): Y.Liu
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 名古屋大学
• [Presentation] Existence of global solutions to quasi-linear hyperbolic equations for viscoelasticity (2010)
  • Author(s): ダルマワルダネマヘシ
  • Organizer: 日本数学会秋季総合分科会
  • Place of Presentation: 名古屋大学
• [Presentation] Generalized maximal regularity of heat equations and its applications (2010)
  • Author(s): T.Ogawa
  • Organizer: Korea-Japan PDE conference
  • Place of Presentation: Suwon, Korea
• [Presentation] 熱方程式の最大正則性定理について (2010)
  • Author(s): 小川卓克
  • Organizer: 研究集会「数理物理と微分方程式」
  • Place of Presentation: かんぽの宿 修善寺, 静岡
• [Presentation] Asymptotic behavior of solutions to drift-diffusion system in higher dimensions (2010)
  • Author(s): 小川卓克
  • Organizer: 研究集会「新しい視点からの現象解析と関数方程式」
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Matsumura's technique and stability analysis (2010)
  • Author(s): S.Kawashima
  • Organizer: International Conference on Partial Differential Equations and Mathematical Physics
  • Place of Presentation: Shirankaikan Annex, Kyoto, Japan
• [Presentation] On asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 熊本における偏微分方程式研究集会
  • Place of Presentation: 熊本大学
• [Presentation] Asymptotic behavior of solutions to drift-diffusion system of a critical case (2010)
  • Author(s): 小川卓克
  • Organizer: 熊本における偏微分方程式研究集会
  • Place of Presentation: 熊本大学
• [Presentation] A new type decay structure for symmetric hyperbolic systems (2010)
  • Author(s): S.Kawashima
  • Organizer: International Conference on Nonlinear Partial Differential Equations : Mathematical Theory, Computation, and Applications
  • Place of Presentation: National University of Singapore, Singapore
• [Presentation] On asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): Y.Kagei
  • Organizer: 日独共同大学院プログラムMini-Course
  • Place of Presentation: 早稲田大学
• [Presentation] On asymptotic behavior of solutions of the compressible Navier-Stokes equation around a parallel flow (2010)
  • Author(s): 隠居良行
  • Organizer: 研究集会「微分方程式の総合的研究」
  • Place of Presentation: 京都大学
• [Book] シュプリンガージャパン (2013)
  • Author(s): 小川卓克
  • Total Pages: 420
  • Publisher: 「非線型発展方程式の実解析的手法」
• [Remarks] 川島秀一研究室ホームページ
  • URL: http://www2.math.kyushu-u.ac.jp/~kawashim/
• [Remarks] 研究集会／セミナー情報ページ
  • URL: http://www2.math.kyushu-u.ac.jp/FE-Seminar/wiki/