| | GIGA Yoshikazu Last updated: Mar 29, 2019 at 18:10 | Name | GIGA Yoshikazu |
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Affiliation | The University of Tokyo |
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Section | Graduate School of Mathematical Sciences, Basic Analysis |
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Job title | Professor |
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Degree | Doctor of Science(The University of Tokyo) |
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Academic & Professional Experience 2005 - Today Professor, Graduate School of Mathematical Sciences, The University of Tokyo 1991 - 1995 Professor, Faculty of Science, Hokkaido University 1988 - 1991 Assistant professor, Faculty of Science, Hokkaido University 1986 - 1988 Instructor, Faculty of Science, Hokkaido University 1981 - 1986 Assistant, School of Science, Nagoya University Committee Memberships 2007 Program Comittee Member of International Conference on Industial and Applied Mathematics 2006 Program Committee Member of International Conference of Mathematician Awards & Honors Nov 2010 Medal with Purple Ribbon, Cabinet Office, Government of Japan Published Papers Y. Giga, N. Kajiwara and K. Kress Nonlinear Anal. Real World Appl. 47 398-413 2019 [Refereed] H. Beirao da Veiga, Y. Giga and Z. Grujic Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 2018 [Refereed] M. Bolkart, Y. Giga, T. Suzuki and Y. Tsutsui Potential Anal. 49 105-130 2018 [Refereed] Y. Giga and N. Pozar Comm. Pure Appl. Math. 71 1461-1491 2018 [Refereed] Y. Giga, M. Muszkieta and P. Rybka Jpn. J. Ind. Appl. Math. 2018 [Refereed] T. Ohtsuka, Y.-H. R. Tsai and Y. Giga Cryst. Growth Des. 18 1917-1929 2018 [Refereed] Y. Giga and N. Hamamuki Nonlinear Differ. Equ. Appl. 25-51 2018 [Refereed] Y. Giga and N. Kajiwara J. Math. Anal. Appl. 459 528-555 2018 [Refereed] On large time behavior of growth by birth and spread Yoshikazu Giga Proc. Int. Cong. of Math. 2018 Rio de Janeiro 2018 [Refereed][Invited] H. Koba, C. Liu and Y. Giga Quart. Appl. Math. 76 147-152 2018 [Refereed] Books etc 儀我美一, 石井克幸, 小池茂昭, 小澤徹, 山田直記, InternationalConferenceforthe25thAnniversaryofViscositySolutions Gakkotosho 2008 ISBN:9784762504396 |
京都大学数理解析研究所, 儀我美一, KyotoConferenceontheNavier-StokesEquationsandtheirApplications Research Institute for Mathematical Sciences, Kyoto University 2007 |
 | Yoshikazu Giga Birkhäuser Jun 2006 |
儀我美一 Birkhäuser 2006 ISBN:3764324309 |
 | Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal, Birkhauser Birkhäuser Apr 2004 ISBN:0817641734 |
儀我美一 Hokkaido University, Dept. of Mathematics 2002 |
 | 儀我 美一, 儀我 美保 (Part:Joint Work) 共立出版 Jun 1999 ISBN:4320015770 |
MSJInternationalResearchInstitute, 上見練太郎, 儀我美一, OzawaT. Gakkōtosho 1997 ISBN:476250419X |
儀我 美一, 陳 蘊剛 (Part:Joint Work) 日本評論社 Sep 1996 ISBN:4535782342 |
Conference Activities & Talks On convergence of approximation for the Navier-Stokes equations with anisotropic viscosity by the primitive equations in  [Invited] GIGA Yoshikazu Maximal regularity and nonlinear PDE 28 Mar 2019 On large time behavior of solutions to birth and spread type equations [Invited] GIGA Yoshikazu Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures 21 Jan 2019 Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures [Invited] GIGA Yoshikazu 18 Jan 2019 On large time behavior of growth by birth and spread [Invited] GIGA Yoshikazu International Congress of Mathematicians 2018 (ICM 2018) 3 Aug 2018 On large time behavior of growth by birth and spread [Invited] GIGA Yoshikazu Advanced Developments for Surface and Interface Dynamics - Analysis and Computation 21 Jun 2018 Works Viscosity isolations with shocks 2000 A level set method for surface evolution equations 1989 - 1993 Mathematical analysis on blow-up phenomena for semilinear heat equations 1982 - 1988 Research Grants & Projects Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A)) Project Year: Apr 2017 - Mar 2022 Investigator(s): Sumio YAMADA Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B)) Project Year: Apr 2016 - Mar 2020 Investigator(s): Hitoshi ISHII 本年度は次のような研究を行った．１．原点を漸近安定な特異点とするベクトル場を移流項に持つ準線形放物型方程式の解の準安定性の研究をP. E. Souganidis氏と共同で論文に纏め上げ完成させた．2．A. Biswas氏，S. Saha氏，L. Wang氏との共同研究により，角のある領域におけるハミルトン・ヤコビ・ベルマン方程式に対するに非線形ノイマン問題の粘性解に対する比較定理を証明し，粘性解の存在と一意性の理論を確立した．この研究で扱った非線形ノイマン条件は特別な場合であるが，これによ... Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(S)) Project Year: May 2014 - Mar 2019 Investigator(s): Yoshikazu GIGA 特異構造を許す解概念の定式化：異方性の強い特異2階曲率流方程式や平均曲率流方程式などについて、新しい解の概念を導入し、解析を行った。
(i) クリスタライン平均曲率流方程式に対する等高面法：特異2階曲率流方程式の典型例として、その平衡型のウルフ図形が多面体であるものを、クリスタライン平均曲率流方程式という。この問題について、カドやファセットのある結晶がぶつかりあったり、ちぎれたりするような特異構造を許す解概念として等高面法による弱解（広義解）が有力と考えられる。弱解の一意存在問題は、平面... Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A)) Project Year: Apr 2014 - Mar 2019 Investigator(s): Yoshikazu GIGA Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(挑戦的萌芽研究) Project Year: Apr 2013 - Mar 2016 Investigator(s): Yoshikazu GIGA ネットワークやフラクタルのような関数の勾配という概念が自然に定義できない空間上で、アイコナール方程式を考える。そのため一般距離空間でのアイコナール方程式についての粘性解理論を確立した。また、結晶表面や金属の粒界の形状変化を記述する曲率流方程式、特に異方性の強いクリスタライン曲率流方程式について、その粘性解理論を、表面が曲線とみなせる場合に確立した。異方性の強い曲率流方程式はユークリッド計量以外の計量で面積（長さ）を測った場合の適当な距離空間での勾配流と形式的にみなせる研究対象であるが、一般... |
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