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Advanced Analysis on Evolving Patterns in Nonlinear Phenomena Driven by Singular Structure

Research Project

Project/Area Number 26220702
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Research Field Mathematical analysis
Research InstitutionThe University of Tokyo

Principal Investigator

GIGA Yoshikazu  東京大学, 大学院数理科学研究科, 教授 (70144110)

Co-Investigator(Kenkyū-buntansha) 石井 仁司  津田塾大学, 数学・計算機科学研究所, 研究員 (70102887)
利根川 吉廣  東京工業大学, 理学院, 教授 (80296748)
山本 昌宏  東京大学, 大学院数理科学研究科, 教授 (50182647)
神保 秀一  北海道大学, 理学研究院, 教授 (80201565)
久保 英夫  北海道大学, 理学研究院, 教授 (50283346)
Project Period (FY) 2014-05-30 – 2019-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥155,740,000 (Direct Cost: ¥119,800,000、Indirect Cost: ¥35,940,000)
Fiscal Year 2018: ¥36,270,000 (Direct Cost: ¥27,900,000、Indirect Cost: ¥8,370,000)
Fiscal Year 2017: ¥35,620,000 (Direct Cost: ¥27,400,000、Indirect Cost: ¥8,220,000)
Fiscal Year 2016: ¥36,660,000 (Direct Cost: ¥28,200,000、Indirect Cost: ¥8,460,000)
Fiscal Year 2015: ¥35,620,000 (Direct Cost: ¥27,400,000、Indirect Cost: ¥8,220,000)
Fiscal Year 2014: ¥11,570,000 (Direct Cost: ¥8,900,000、Indirect Cost: ¥2,670,000)
Keywords非線形非局所的拡散 / 粘性解 / バリフォールド / 薄膜極限 / 非局所的拡散 / 4階全変動流方程式 / プリミティブ方程式 / ファセット / 非線形現象 / 分数冪拡散方程式 / 動的境界条件 / 平均曲率流 / ストークス作用素 / 有界平均振動関数 / 結晶成長 / 分数階時間微分 / クリスタラリン平均曲率流 / 渦巻成長 / 長時間挙動 / 特異拡散 / ストークス方程式 / 特異拡散方程式 / 渦 / 関数方程式論 / 流体 / 弱解 / レゾルベント評価
Outline of Final Research Achievements

We prove the existence and the uniqueness of a solution and clarify its behavior for evolution equations mainly nonlinear diffusion equations describing evolution of patterns and shapes like crystal growth phenomena. We introduce new notions of a solution which allows shape with singularities for equations having singular structure. We thus establish foundation of mathematical analysis which easily describes real phenomena. Based on these fundamental results, we are able to numerically calculate phenomena which had been difficult to calculate, for example, phenomena of colliding spirals on surfaces of crystals.

Academic Significance and Societal Importance of the Research Achievements

偏微分方程式は、諸現象記述に便利ですが、現象に忠実であろうとすると、入力を倍にしても出力が倍にならない非線形であることが多くなります。本研究で扱う問題は主に時間発展型の方程式で、非平衡現象に対応しております。さらに、非局所的効果を持つものです。このような問題は従来の解析では扱えませんでした。本研究の成果は、分数階微分方程式、クリスタライン平均曲率流方程式、ナヴィエ・ストークス方程式を中心に、粘性解の理論や実解析の理論を発展させ、非線形解析学を発展させました。
また、結晶表面の成長メカニズムの一つである渦巻成長について、その新しい数値計算法を与え、結晶成長学の基礎の見直しにつながりました。

Assessment Rating
Verification Result (Rating)

A

Result (Rating)

A: Progress in the research is steadily towards the initial goal. Expected research results are expected.

Report

(10 results)
  • 2020 Research Progress Assessment (Verification Result) ( PDF )
  • 2019 Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report   Abstract(Research Progress Assessment) ( PDF )   Research Progress Assessment (Result) ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Abstract ( PDF )   Annual Research Report

Research Products

(138 results)

All 2020 2019 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (10 results) Journal Article (51 results) (of which Int'l Joint Research: 39 results,  Peer Reviewed: 51 results,  Open Access: 5 results,  Acknowledgement Compliant: 24 results) Presentation (57 results) (of which Int'l Joint Research: 39 results,  Invited: 57 results) Remarks (2 results) Funded Workshop (18 results)

  • [Int'l Joint Research] ダルムシュタット工科大学(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ワルシャワ大学/ヴロツワフ大学(ポーランド)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ウィスコンシン大学(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ダルムシュタット工科大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] テキサス大学/バージニア大学(米国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ワルシャワ大学(ポーランド)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ピサ大学(イタリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ダルムシュタット工科大学/デュッセルドルフ大学(ドイツ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] テキサス大学(米国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] ワルシャワ大学(ポーランド)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Analyticity of solusions to the primitive equations2020

    • Author(s)
      Y. Giga, M. Gries, M. Hieber, A. Hussein and T. Kashiwabara
    • Journal Title

      Mathematische Nachrichten

      Volume: 293 Pages: 284-304

    • DOI

      10.1002/mana.201700401

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Discrete schemes for time-fractional fully nonlinear evolution equations and their convergence2020

    • Author(s)
      Y. Giga, Q. Liu, H. Mitake
    • Journal Title

      Asymptotic Analysis

      Volume: accepted Pages: 1-12

    • DOI

      10.3233/asy-191583

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Numerical computations of split Bregman method for fourth order total variation flow2020

    • Author(s)
      Y. Giga and Y. Ueda
    • Journal Title

      J. Comput. Phys.

      Volume: 405 Pages: 109114-109114

    • DOI

      10.1016/j.jcp.2019.109114

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms2020

    • Author(s)
      Y. Giga, H. Mitake and H. V. Tran
    • Journal Title

      Discrete & Continuous Dynamical Systems - B

      Volume: Online First Pages: 3983-3999

    • DOI

      10.3934/dcdsb.2019228

    • NAID

      120006643619

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces2019

    • Author(s)
      R. Farwig, Y. Giga and P.-Y. Hsu
    • Journal Title

      Ann. Mat. Pura Appl.

      Volume: 198 Pages: 1495-1511

    • DOI

      10.1007/s10231-019-00824-1

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] An energetic variational approach for nonlinear diffusion equations in moving thin domains2019

    • Author(s)
      T.-H. Miura, Y. Giga and C. Liu
    • Journal Title

      Adv. Math. Sci. Appl.

      Volume: 27 Pages: 115-141

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A duality based approach to the minimizing total variation flow in the space $H^{-s}$2019

    • Author(s)
      Y. Giga, M. Muszkieta and P. Rybka
    • Journal Title

      Japan J. Indust. Appl. Math.

      Volume: 36 Issue: 1 Pages: 261-286

    • DOI

      10.1007/s13160-018-00340-4

    • NAID

      120006459791

    • ISSN
      0916-7005, 1868-937X
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On obstacle problem for mean curvature flow with driving force2019

    • Author(s)
      Giga Yoshikazu、Tran Hung V.、Zhang Longjie
    • Journal Title

      Geom. Flows

      Volume: 4 Pages: 9-29

    • DOI

      10.1515/geofl-2019-0002

    • NAID

      120006529657

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition2019

    • Author(s)
      Y. Giga, Z. Gu and P.-Y. Hsu
    • Journal Title

      Nonlinear Anal.

      Volume: 189 Pages: 111579-111579

    • DOI

      10.1016/j.na.2019.111579

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Equivalence of $BMO$-type norms with applications to the heat and Stokes semigroup2019

    • Author(s)
      M. Bolkart, Y. Giga, T. Suzuki and Y. Tsutsui
    • Journal Title

      Potential Anal.

      Volume: First Online Pages: 105-130

    • DOI

      10.1007/s11118-017-9650-x

    • NAID

      120006459779

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On a resolvent estimate for bidomain operators and its applications2018

    • Author(s)
      Y. Giga and N. Kajiwara
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 459 Pages: 528-555

    • DOI

      10.1016/j.jmaa.2017.10.023

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global well posedness for a two-fluid model2018

    • Author(s)
      Y. Giga, S. Ibrahim, S. Shen and T. Yoneda
    • Journal Title

      Differential Integral Equations

      Volume: 31 Pages: 187-214

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Analyticity of the Stokes semigroup in <i>BMO</i>-type spaces2018

    • Author(s)
      M. Bolkart, Y. Giga and T. Suzuki
    • Journal Title

      J. Math. Soc. Japan

      Volume: 70 Issue: 1 Pages: 153-177

    • DOI

      10.2969/jmsj/07017346

    • NAID

      130006334095

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Vorticity Direction and Regularity of Solutions to the Navier-Stokes Equations2018

    • Author(s)
      H. Beirao da Veiga, Y. Giga and Z. Grujic
    • Journal Title

      Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

      Volume: 0 Pages: 0-0

    • DOI

      10.1007/978-3-319-10151-4_18-1

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On analyticity of the L^p-Stokes semigroup for some non-Helmholtz domains2018

    • Author(s)
      M. Bolkart, Y. Giga, T.-H. Miura, T. Suzuki and Y. Tsutsui
    • Journal Title

      Mathematische Nachrichten

      Volume: 印刷中 Pages: 2524-2546

    • DOI

      10.1002/mana.201600016

    • NAID

      120006459771

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Energetic variational approaches for incompressible fluid systems on an evolving surface2018

    • Author(s)
      Hajime Koba, Chun Liu, and Yoshikazu Giga
    • Journal Title

      Quart. Appl. Math.

      Volume: 75 Pages: 359-389

    • DOI

      10.1090/qam/1452

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Energetic variational approaches for incompressible fluid systems on an evolving surface, Errata2018

    • Author(s)
      H. Koba, C. Liu and Y. Giga
    • Journal Title

      Quarterly of Applied Mathematics,

      Volume: 76 Pages: 147-152

    • DOI

      10.1090/qam/1482

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Well-posedness of Hamilton-Jacobi equations with Caputo's time-fractional derivative2018

    • Author(s)
      Y. Giga and T. Namba
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 42 Pages: 1088-1120

    • DOI

      10.1080/03605302.2017.1324880

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the Stokes resolvent estimates for cylindrical domains2017

    • Author(s)
      K. Abe, Y. Giga, K. Shade, T. Suzuki
    • Journal Title

      J. Evol. Eq.

      Volume: 17 Pages: 17-49

    • DOI

      10.1007/s00028-016-0350-6

    • NAID

      120006459770

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The Navier-Stokes equations with initial values in Besov spaces of type B^{-1+3/q}_{q,\infty}2017

    • Author(s)
      R. Farwig, Y. Giga and P.-Y. Hsu
    • Journal Title

      J. Korean Math. Soc.

      Volume: 54 Pages: 1483-1504

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Bounded $H^{\infty }$-calculus for the hydrostatic Stokes operator on $L^p$-spaces and applications2017

    • Author(s)
      Giga Yoshikazu、Gries Mathis、Hieber Matthias、Hussein Amru、Kashiwabara Takahito
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 145 Pages: 3865-3876

    • DOI

      10.1090/proc/13676

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid2017

    • Author(s)
      M. Endo, Y. Giga, D. Goetz and C. Liu
    • Journal Title

      J. Math. Fluid Mech.

      Volume: 19 Pages: 17-45

    • DOI

      10.1007/s00021-016-0294-1

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On Viscosity Solution of HJB Equations with State Constraints and Reflection Control2017

    • Author(s)
      A. Biswas, H. Ishii, S. Saha and L. Wang
    • Journal Title

      SIAM Journal on Control and Optimization

      Volume: 55 Pages: 365-396

    • DOI

      10.1137/15m103830x

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Metastability for parabolic equations with drift: part II. The quasilinear case2017

    • Author(s)
      H. Ishii and P. E. Souganidis
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 66 Pages: 315-360

    • DOI

      10.1512/iumj.2017.66.5994

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On the mean curvature flow of grain boundaries2017

    • Author(s)
      L. Kim and Y. Tonegawa
    • Journal Title

      Annales de l'Institut Fourier (Grenoble)

      Volume: 67 Pages: 43-142

    • DOI

      10.5802/aif.3077

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On existence and uniqueness of solutions for semilinear fractional wave equations2017

    • Author(s)
      Y. Kian and M. Yamamoto
    • Journal Title

      Fract. Calc. Appl. Anal.

      Volume: 20 Pages: 117-138

    • DOI

      10.1515/fca-2017-0006

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Lorentz space estimates for vector fields with divergence and curl in Hardy spaces2016

    • Author(s)
      Y. Giga and X. Xiang
    • Journal Title

      Tamkang Journal of Mathematics

      Volume: 47 Pages: 249-260

    • DOI

      10.5556/j.tkjm.47.2016.1932

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Initial Values for the Navier-Stokes Equations in Spaces with Weights in Time2016

    • Author(s)
      R. Farwig, Y. Giga and P.-Y. Hsu
    • Journal Title

      FE

      Volume: 59 Issue: 2 Pages: 199-216

    • DOI

      10.1619/fesi.59.199

    • NAID

      130005259569

    • ISSN
      0532-8721
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On L^\infty-BMO estimates for derivatives of the Stokes semigroup2016

    • Author(s)
      M. Bolkart and Y. Giga
    • Journal Title

      Math. Z.

      Volume: 284 Pages: 1163-1183

    • DOI

      10.1007/s00209-016-1693-y

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On asymptotic speed of solutions to level-set mean curvature flow equations with driving and source terms2016

    • Author(s)
      Y. Giga, H. Mitake and H. V. Tran
    • Journal Title

      SIAM J. Math. Anal.

      Volume: 48 Pages: 3515-3546

    • DOI

      10.1137/15m1052755

    • NAID

      120006459773

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A level set crystalline mean curvature flow of surfaces2016

    • Author(s)
      Y. Giga and N. Pozar,
    • Journal Title

      Adv. Differential Equations

      Volume: 21 Pages: 631-698

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A convergence result for the ergodic problem for Hamilton-Jacobi equations with Neumann-type boundary conditions2016

    • Author(s)
      Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii, Arshad M. M.Younas
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A

      Volume: 146 Pages: 225-242

    • DOI

      10.1017/s0308210515000517

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Coupled Instabilities of Surface Crease and Bulk Bending during Fast Free Swelling of Hydrogel2016

    • Author(s)
      Riku Takahashi, Yumihiko Ikura, Daniel R. King, Takayuki Nonoyama, Tasuku Nakajima, Takayuki Kurokawa, Hirotoshi Kuroda, YoshihiroTonegawa, Jian Ping Gong
    • Journal Title

      Soft Matter

      Volume: 12 Pages: 5081-5088

    • DOI

      10.1039/c6sm00578k

    • NAID

      120005906841

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The blow up method for Brakke flows: networks near triple junctions2016

    • Author(s)
      Y. Tonegawa and N. Wickramasekera
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 221 Pages: 1161-1222

    • DOI

      10.1007/s00205-016-0981-3

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Existence and regularity of mean curvature flow with transport term in higher dimensions2016

    • Author(s)
      K. Takasao and Y. Tonegawa
    • Journal Title

      Mathematische Annalen

      Volume: 364 Pages: 857-935

    • DOI

      10.1007/s00208-015-1237-5

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems2016

    • Author(s)
      Y. Luchko and M. Yamamoto
    • Journal Title

      Fract. Calc. Appl. Anal.

      Volume: 19 Pages: 676-695

    • DOI

      10.1515/fca-2016-0036

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Strong maximum principle for fractional diffusion equations and an application to an inverse source problem2016

    • Author(s)
      Y. Liu, W. Rundell and M. Yamamoto
    • Journal Title

      Fractional Calculus and Applied Analysis

      Volume: 19 Pages: 888-906

    • DOI

      10.1515/fca-2016-0048

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the reconstruction of unknown timedependent boundary sources for time fractional diffusion process by distributing measurement2016

    • Author(s)
      J.J. Liu, L. Yan, M. Yamamoto
    • Journal Title

      Inverse Problems

      Volume: 32 Pages: 015009-25

    • DOI

      10.1088/0266-5611/32/1/015009

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition2016

    • Author(s)
      S. Jimbo and K. Kurata
    • Journal Title

      Indiana Univ. Math. J.

      Volume: 65 Pages: 867-898

    • DOI

      10.1512/iumj.2016.65.5831

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] An RNAi Screen for Genes involved in Nanoscale Protrusion Formation on Corneal Lens in Drosophila melanogaster2016

    • Author(s)
      Ryunosuke Minami, Chiaki Sato, Yumi Yamahama, Hideo Kubo, Takahiko Hariyama, Ken-ichi Kimura
    • Journal Title

      Zoological Science

      Volume: 33 Issue: 6 Pages: 583-583

    • DOI

      10.2108/zs160105

    • NAID

      210000175445

    • ISSN
      0289-0003
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Eikonal equations in metric spaces2015

    • Author(s)
      NAKAYASU, Atsushi
    • Journal Title

      Trans. Amer. Math. Soc.

      Volume: 367 Pages: 49-66

    • DOI

      10.1090/s0002-9947-2014-05893-5

    • NAID

      120006459683

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Stokes resolvent estimates in spaces of bounded functions2015

    • Author(s)
      K. Abe, Y. Giga and M. Hieber
    • Journal Title

      Annales scientifiques de l'E.N.S.

      Volume: 48 Pages: 537-559

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A level set approach reflecting sheet structure with single auxiliary function for evolving spirals on crystal surfaces2015

    • Author(s)
      T. Ohtsuka, Y.-H. Tsai, Y. Giga
    • Journal Title

      Journal of Scientific Computing

      Volume: 62 Pages: 831-874

    • DOI

      10.1007/s10915-014-9877-2

    • NAID

      120006459716

    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Uniform exponential stability of the Ekman spiral2015

    • Author(s)
      Y. Giga and J. Saal
    • Journal Title

      Arkiv for Matematik

      Volume: 53 Pages: 105-126

    • DOI

      10.1007/s11512-014-0203-x

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A counterexample to finite time stopping property for one-harmonic map flow2015

    • Author(s)
      Y. Giga and H. Kuroda
    • Journal Title

      Comm. Pure Appl. Anal.

      Volume: 14 Pages: 121-125

    • DOI

      10.3934/cpaa.2015.14.121

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] On the Stokes semigroup in some non-Helmholtz domain2015

    • Author(s)
      K. Abe, Y. Giga, K. Shade, T. Suzuki
    • Journal Title

      Arch. Math. (Basel)

      Volume: 104 Pages: 177-187

    • DOI

      10.1007/s00013-015-0729-6

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Bent rectangles as viscosity solutions over a circle2015

    • Author(s)
      Y. Giga, P. Gorka and P. Rybka
    • Journal Title

      Nonlinear Anal.

      Volume: 125 Pages: 518-549

    • DOI

      10.1016/j.na.2015.05.033

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs2014

    • Author(s)
      M.-H. Giga, Y. Giga and P. Rybka
    • Journal Title

      Arch. Ration. Mech. Anal.

      Volume: 211 Pages: 419-453

    • DOI

      10.1007/s00205-013-0676-y

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The $L^{\infty}$-Stokes semigroup in exterior domains2014

    • Author(s)
      K. Abe and Y. Giga
    • Journal Title

      J. of Evolution Equations

      Volume: 14 Pages: 1-28

    • DOI

      10.1007/s00028-013-0197-z

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Periodic total variation flow of non-divergence type in $R^n$2014

    • Author(s)
      M.-H. Giga, Y. Giga and N. Pozar
    • Journal Title

      J. Math. Pures Appl.

      Volume: 102 Pages: 203-233

    • DOI

      10.1016/j.matpur.2013.11.007

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion2014

    • Author(s)
      Y. Giga, P.-Y. Hsu, Y. Maekawa
    • Journal Title

      Comm. in Partial Differential Equations

      Volume: 39 Pages: 1906-1935

    • DOI

      10.1080/03605302.2014.912662

    • NAID

      120006459732

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] On total variation flow under dynamic boundary conditions2020

    • Author(s)
      Y. Giga
    • Organizer
      Qualitative Properties for Nonlinear Diffusion Equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On total variation flow type equations2019

    • Author(s)
      Y. Giga
    • Organizer
      PDE seminar series
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the large time behavior of solutions to birth and spread type equations2019

    • Author(s)
      Y. Giga
    • Organizer
      Dynamics, Equations and Applications (DEA 2019)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On total variation flow type equations2019

    • Author(s)
      Y. Giga
    • Organizer
      AustMS 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 拘束条件による機能分化の数理モデルに関する考察2017

    • Author(s)
      久保英夫
    • Organizer
      津田一郎教授退職記念研究集会 複雑系数理の新展開
    • Place of Presentation
      北海道大学(北海道札幌市)
    • Year and Date
      2017-02-15
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Inverse problems related to free boundaries2017

    • Author(s)
      M. Yamamoto
    • Organizer
      Emerging Developments in Interfaces and Free Boundaries
    • Place of Presentation
      オーバーボルファハ(ドイツ)
    • Year and Date
      2017-01-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The vanishing discount problem for fully nonlinear degenerate elliptic PDEs2017

    • Author(s)
      H. Ishii
    • Organizer
      Beyond Hamilton-Jacobi, Last call to Bordeaux
    • Place of Presentation
      ボルドー(フランス)
    • Year and Date
      2017-01-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On L^\infty theory for the Navier-Stokes equations with applications to geometric regularity criteria2017

    • Author(s)
      Y. Giga
    • Organizer
      The 25th Annual Workshop on Differential Equations
    • Place of Presentation
      新竹(台湾)
    • Year and Date
      2017-01-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On growth speed of a birth-spread model for two-dimensional nucleation on a crystal surface2017

    • Author(s)
      Y. Giga
    • Organizer
      Colloquium
    • Place of Presentation
      台北(台湾)
    • Year and Date
      2017-01-05
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Analyticity of semigroups in end point spaces2017

    • Author(s)
      Y. Giga
    • Organizer
      Operator semigroups in Analysis: modern developments
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Approximation by Cahn-Hoffman facets and the crystalline mean curvature flow2017

    • Author(s)
      Y. Giga
    • Organizer
      Analysis seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] On L^\infty theory for the Navier-Stokes equations and its applications to regularity criteria via vorticity direction2017

    • Author(s)
      Y. Giga
    • Organizer
      Incompressible Navier-Stokes Equations
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有界平均振動関数空間における熱半群、ストークス半群の解析性2017

    • Author(s)
      儀我美一
    • Organizer
      第660回応用解析研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Existence and regularity of Brakke's mean curvature flow2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      Nonlinear and geometric partial differential equations
    • Place of Presentation
      キャンベラ(オーストラリア)
    • Year and Date
      2016-12-13
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有界平均振動関数空間でのストークス半群の解析性とその応用2016

    • Author(s)
      儀我美一
    • Organizer
      月曜解析セミナー
    • Place of Presentation
      北海道大学大学院理学研究院(北海道札幌市)
    • Year and Date
      2016-11-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Coefficient inverse problems for integro-partial differential equations by Carleman estimates: viscoelasticity, Inverse Problems and Related Topics2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Inverse Problems and Related Topics
    • Place of Presentation
      マルセイユ(フランス)
    • Year and Date
      2016-11-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Almgren-Pitts theorem for minimal surface via phase interface energy2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      福岡大学微分幾何研究会
    • Place of Presentation
      福岡大学セミナーハウス(福岡県福岡市)
    • Year and Date
      2016-11-05
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Overview of pattern-filtering model2016

    • Author(s)
      H. Kubo
    • Organizer
      Towards Mathematical Model for Self- organization with Constraints(拘束条件付き自己組織化の数理モデルの探求)
    • Place of Presentation
      シャトレーゼガトーキングダムサッポロ(北海道札幌市)
    • Year and Date
      2016-11-02
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Long-time existence of mean curvature flow of grain boundaries2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      Geometry and probability
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-10-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Unique existence and qualitative studies of solutions to initial - boundary value problems for time-fractional diffusion equations and applications2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Workshop on Control and Inverse Problems for Partial Differential Equations
    • Place of Presentation
      杭州(中国)
    • Year and Date
      2016-10-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Y-shaped graph and time entire solutions of a semilinear parabolic equation2016

    • Author(s)
      S. Jimbo
    • Organizer
      Geometry of solutions of PDE's and its related inverse problem
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2016-10-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A level-set crystalline mean curvature flow of hypersurfaces2016

    • Author(s)
      Y. Giga
    • Organizer
      Mean Curvature Flow
    • Place of Presentation
      オックスフォード(イギリス)
    • Year and Date
      2016-09-26
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Well-posedness of initial - boundary value problems for time-fractional diffusion equations and inverse problems2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Chemnitzer Symposium on Inverse Problems
    • Place of Presentation
      ケムニッツ(ドイツ)
    • Year and Date
      2016-09-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence and regularity theories of mean curvature flow2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      非線型の諸問題
    • Place of Presentation
      かんぽの宿 湯田(山口県山口市)
    • Year and Date
      2016-09-12
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On L^\infty and BMO theory of the Stokes semigroup and related topics2016

    • Author(s)
      Y. Giga
    • Organizer
      Towards Regularity
    • Place of Presentation
      ワルシャワ(ポーランド)
    • Year and Date
      2016-09-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A new existence theorem for mean curvature flow2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      Towards Regularity
    • Place of Presentation
      ワルシャワ(ポーランド)
    • Year and Date
      2016-09-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic behavior of solutions to quasilinear wave equations with dissipative structure,2016

    • Author(s)
      H. Kubo
    • Organizer
      7th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      ワルシャワ(ポーランド)
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 幾何学的測度論を用いた平均曲率流の時間大域存在定理2016

    • Author(s)
      利根川吉廣
    • Organizer
      63rd Geometry Symposium
    • Place of Presentation
      岡山大学(岡山県岡山市)
    • Year and Date
      2016-08-28
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] The vanishing discount problem and generalized Mather measures2016

    • Author(s)
      H. Ishii
    • Organizer
      AMCS Seminar
    • Place of Presentation
      トゥアル(サウジアラビア)
    • Year and Date
      2016-08-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 割引消去問題と粘性 Mather 測度:ノイマン問題の場合2016

    • Author(s)
      石井仁司
    • Organizer
      金沢解析セミナー
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2016-07-29
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] The vanishing discount problem and viscosity Mather measures2016

    • Author(s)
      H. Ishii
    • Organizer
      Shokaku Mathematical Lecture Series by Professor Lawrence C. Evans, Nonlinear PDE satellite Workshop
    • Place of Presentation
      東北大学(宮城県仙台市)
    • Year and Date
      2016-07-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Uniqueness for inverse boundary value problems by partial Cauchy data for Maxwells equations and Schroedinger equations: cases of waveguides and cylindrical domains2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Integral Equations and Boundary Value Problems and Applications
    • Place of Presentation
      南寧(中国)
    • Year and Date
      2016-07-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence theorem on the mean curvature flow starting from closed rectifiable set2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      Calculus of Variations
    • Place of Presentation
      オーバーボルファハ(ドイツ)
    • Year and Date
      2016-07-15
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Forward and Inverse problems for fractional diffusion equations: some overview2016

    • Author(s)
      M. Yamamoto
    • Organizer
      4th International Workshop on Computational Inverse Problems and Applications
    • Place of Presentation
      シ博(中国)
    • Year and Date
      2016-07-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Existence and regularity theories of Brakke flow, oberseminar2016

    • Author(s)
      Y. Tonegawa
    • Organizer
      Oberseminar
    • Place of Presentation
      テュービンゲン(ドイツ)
    • Year and Date
      2016-07-07
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On growth speed of a birth-spread model for two-dimensional nucleation on a crystal surface2016

    • Author(s)
      Y. Giga
    • Organizer
      Nonlinear Analysis Seminar
    • Place of Presentation
      パリ(フランス)
    • Year and Date
      2016-06-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weighted estimates in L^\infty for the Neumann problem and its applications to the Stokes semigroup2016

    • Author(s)
      Y. Giga
    • Organizer
      Nonlinear Analysis Seminar
    • Place of Presentation
      パリ(フランス)
    • Year and Date
      2016-06-06
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On growth speed of a birth-spread model for two-dimensional nucleation on a crystal surface2016

    • Author(s)
      Y. Giga
    • Organizer
      Hamilton-Jacobi Equations: new trends and applications
    • Place of Presentation
      レンヌ(フランス)
    • Year and Date
      2016-06-01
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The vanishing discount problem and generalized Mather measures2016

    • Author(s)
      H. Ishii
    • Organizer
      HJ2016: Hamilton-Jacobi Equations: new trends and applications
    • Place of Presentation
      レンヌ(フランス)
    • Year and Date
      2016-05-30
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical analysis for inverse problems: around the viscoelasticity2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Seminar on Applied Analysis
    • Place of Presentation
      ローマ(イタリア)
    • Year and Date
      2016-05-30
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Inverse boundary value problems by partial Cauchy data for Maxwell’s equations and Schroedinger equations: cases of waveguides and cylindrical domains2016

    • Author(s)
      M. Yamamoto
    • Organizer
      New trends in theoretical and numerical analysis of waveguides
    • Place of Presentation
      バスティア(フランス)
    • Year and Date
      2016-05-18
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the game theory with evolving rules II2016

    • Author(s)
      H. Kubo
    • Organizer
      RIMS共同研究「Toward a New Paradigm for Self-Organization: Game Theory with Evolving Rule」
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-05-10
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the game theory with evolving rules I2016

    • Author(s)
      H. Kubo
    • Organizer
      RIMS共同研究「Toward a New Paradigm for Self-Organization: Game Theory with Evolving Rule」
    • Place of Presentation
      京都大学数理解析研究所(京都府京都市)
    • Year and Date
      2016-05-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Applications of Carleman estimates: inverse problems for Kelvin-Voigt model for viscoelasticity and Landis’s conjecture2016

    • Author(s)
      M. Yamamoto
    • Organizer
      Taiwan-Japan Joint Workshop on Inverse Problems 2016
    • Place of Presentation
      京都大学(京都府京都市)
    • Year and Date
      2016-04-01
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 曲面のクリスタライン曲率流に対する等高面法2015

    • Author(s)
      儀我美一
    • Organizer
      談話会
    • Place of Presentation
      東北大学大学院理学研究科
    • Year and Date
      2015-11-30
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A level-set flow by crystalline mean curvature of surfaces2015

    • Author(s)
      Y. Giga
    • Organizer
      Anisotropy 2015
    • Place of Presentation
      Polish Academy of Sciences, Poland
    • Year and Date
      2015-10-15
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On large time behavior of solutions to a level set eikonal mean curvature flow equation with source terms for nucleation2015

    • Author(s)
      Y. Giga
    • Organizer
      The Hamilton-Jacobi Equation: At the crossroads of PDE, dynamical systems & geometry
    • Place of Presentation
      Palazzone di Cortona, Italy
    • Year and Date
      2015-06-24
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the Stokes semigroup in some non-Helmholtz domains2015

    • Author(s)
      Y. Giga
    • Organizer
      Young Researchers in Fluid Dynamics
    • Place of Presentation
      Technische Universitat Darmstadt, Germany
    • Year and Date
      2015-06-18
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Weighted estimates in $L^\infty$ for the Neumann problem and its applications to the Stokes semigroup2015

    • Author(s)
      Y. Giga
    • Organizer
      Workshop on harmonic analysis and partial differential equations
    • Place of Presentation
      Aalto University, Finland,
    • Year and Date
      2015-06-12
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A level-set crystalline mean curvature flow2015

    • Author(s)
      Y. Giga
    • Organizer
      Special analysis seminar
    • Place of Presentation
      Aalto University, Finland,
    • Year and Date
      2015-06-11
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a non-blow up criterion involving vorticity direction under the no-slip boundary condition for the three-dimensional Navier-Stokes flow2015

    • Author(s)
      Y. Giga
    • Organizer
      Asymptotic Problems: Elliptic and Parabolic Issues
    • Place of Presentation
      Vilnius, Lithuania
    • Year and Date
      2015-06-03
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 渦と渦度:2次元流と3次元流2015

    • Author(s)
      儀我美一
    • Organizer
      研究会「渦を知る」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2015-04-16
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] A Level-set Crystalline Mean Curvature Flow2014

    • Author(s)
      Y. Giga
    • Organizer
      Workshop ``New Perspectives in Optimal Control and Games''
    • Place of Presentation
      Universita di Roma ``La Sapienza'', Italy
    • Year and Date
      2014-11-12
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On a non-blow up criterion involving vorticity direction under the non-slip boundary condition for the three-dimensional Navier-Stokes flow2014

    • Author(s)
      Y. Giga
    • Organizer
      Seminar de l'ERC ReaDi
    • Place of Presentation
      Ecole Des Hautes Etudes En Sciences Sociales, France
    • Year and Date
      2014-11-06
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A Level-set Crystalline Mean Curvature Flow2014

    • Author(s)
      Y. Giga
    • Organizer
      Analyse non-lineaire et EDP
    • Place of Presentation
      Institut Henri Poincare, France
    • Year and Date
      2014-11-04
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On a non-blow up criterion involving vorticity direction under the non-slip boundary condition for the three-dimensional Navier-Stokes flow2014

    • Author(s)
      Y. Giga
    • Organizer
      6th Euro-Japanese Workshop on Blow-up
    • Place of Presentation
      Tokyo Institute of Technology, Japan
    • Year and Date
      2014-09-01
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] On the Stokes semigroup in some non Helmholtz domains2014

    • Author(s)
      Y. Giga
    • Organizer
      JSPS-DFG Japanese-German Graduate Externship Kickoff Meeting
    • Place of Presentation
      Waseda University, Japan
    • Year and Date
      2014-06-18
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Remarks] Laboratory of Yoshikazu GIGA

    • URL

      https://www.ms.u-tokyo.ac.jp/~labgiga/

    • Related Report
      2018 Annual Research Report
  • [Remarks] Laboratory of Yoshikazu GIGA

    • URL

      http://www.ms.u-tokyo.ac.jp/~labgiga/

    • Related Report
      2017 Annual Research Report 2015 Annual Research Report
  • [Funded Workshop] Recent topics on well-posedness and stability of incompressible fluid and related topics2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] 第44回偏微分方程式論札幌シンポジウム2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Mathematical Aspects of Surface and Interface Dynamics 182019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] Geometric Analysis and General Relativity2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] UTokyo-NTU Joint Symposium in Mathematics2019

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International/Interdisciplinary Seminar Nonlinear Science「非線形科学の学融合的展開」2017

    • Place of Presentation
      東京大学柏の葉キャンパス駅前サテライト、東京大学大学院数理科学研究科
    • Year and Date
      2017-03-13
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Emerging Developments in Interfaces and Free Boundaries2017

    • Place of Presentation
      Mathematisches Forschungsinstitut Oberwolfach
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Geophysical Fluid Dynamics2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] 第42回偏微分方程式論札幌シンポジウム2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Incompressible Navier-Stokes Equations2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Mathematical Aspects of Surface and Interface Dynamics 142017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Princeton-Tokyo Fluid Mechanics Workshop2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] 非線形科学の学融合的展開2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Mathematical Aspects of Surface and Interface Dynamics 122016

    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2016-10-19
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] 第41回偏微分方程式論札幌シンポジウム2016

    • Place of Presentation
      北海道大学大学院理学院
    • Year and Date
      2016-08-08
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] Mathematical Aspects of Surface and Interface Dynamics 102015

    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2015-10-28
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] The 40th Sapporo Symposium on Partial Differential Equations2015

    • Place of Presentation
      北海道大学理学部
    • Year and Date
      2015-08-19
    • Related Report
      2015 Annual Research Report
  • [Funded Workshop] Mathematics for Nonlinear Phenomena: Analysis and Computation2015

    • Place of Presentation
      札幌コンベンションセンター
    • Year and Date
      2015-08-16
    • Related Report
      2015 Annual Research Report

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Published: 2014-06-05   Modified: 2022-11-04  

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