MIZUNO Masashi
| Department of Mathematics | Associate Professor |
Researcher Information
Research Keyword
Career
Educational Background
- Apr. 2007 - Sep. 2010
Tohoku University, Graduate School, Division of Natural Science, Mathematical Institute - Apr. 2005 - Mar. 2007
Tohoku University, Graduate School, Division of Natural Science, Mathematical Institute - Apr. 2001 - Mar. 2005
Saitama University, Faculty of Science, Depertment of Mathematics
Research activity information
Paper
- 結晶成長の数理モデル
水野将司
第45回発展方程式若手セミナー報告集, 2025, Not refereed - Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects
Xianjin Chen; Chiun-Chang Lee; Masashi Mizuno
Communications in Mathematical Sciences, 2024, Refereed - Long time behavior for a curvature flow of networks related to grain boundary motion with the effect of lattice misoriantations
Takashi Kagaya; Masashi Mizuno; Keisuke Takasao
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, Apr. 2023, Refereed - Local well-posedness of a nonlinear Fokker–Planck model
Yekaterina Epshteyn; Chang Liu; Chun Liu; Masashi Mizuno
Nonlinearity, 2023, Refereed - On the uniqueness of linear convection-diffusion equations in large domains with integral boundary conditions
Chiun-Chang Lee; Masashi Mizuno; Sang-Hyuck Moon
Comptes Rendus Mathématique, 2023, Refereed - A stochastic model of grain boundary dynamics: A Fokker-Planck perspective
Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
Mathematical Models and Methods in Applied Sciences, 2022, Refereed - Nonlinear inhomogeneous Fokker-Planck models: energetic-variational structures and long time behavior
Yekaterina Epshteyn; Chang Liu; Chun Liu; Masashi Mizuno
Analysis and Applications, 2022, Refereed - Grain Growth and the Effect of Different Time Scales
Katayun Barmak; Anastasia Dunca; Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
Springer AWM series volume "Research in Mathematics of Materials Science", 2022, Refereed, Not invited - Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag
Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
SIAM Journal on Mathematical Analysis, 2021, Refereed, Not invited - A curve shortening equation with time-dependent mobility related to grain boundary motions
Masashi Mizuno; Keisuke Takasao
Interfaces and Free Boundaries, 2021, Refereed, Not invited - Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag
Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
Communications in Mathematical Sciences, 2021, Refereed, Not invited - Gradient estimates for mean curvature flow with Neumann boundary conditions
Masashi Mizuno and Keisuke Takasao
RIMS K\^oky\^uroku, 2018, Not refereed, Not invited - Gradient estimates for mean curvature flow with Neumann boundary conditions
Masashi Mizuno; Keisuke Takasao
Nonlinear Differential Equations and Applications NoDEA, 2017, Refereed - Convergence of the Allen-Cahn equation with Neumann boundary conditions
Yoshihiro Tonegawa and Masashi Mizuno
RIMS K\^oky\^uroku, Aug. 2015, Not refereed, Not invited - Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions
Masashi Mizuno; Yoshihiro Tonegawa
SIAM Journal on Mathematical Analysis, 2015, Refereed - Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces
Masashi Mizuno
Manuscripta Mathematica, 2013, Refereed, Not invited - Regularity and asymptotic behavior for the Keller-Segel system of degenerate type with critical nonlinearity
Masashi Mizuno and Takayoshi Ogawa
Journal of Mathematical Sciences, The University of Tokyo, 2013, Refereed, Not invited - Remarks on Hölder continuity for solutions of the p-Laplace evolution equations
Masashi Mizuno
Journal of Mathematical Analysis and Applications, 2011, Refereed - H\"older continuity for some degenerate parabolic equation and its application
Masashi Mizuno and Takayoshi Ogawa
RIMS K\^oky\^uroku, Jun. 2010, Not refereed, Not invited - Harnack estimates for some non-linear parabolic equation
Masashi Mizuno
Differential and Integral Equations, 2008, Refereed
Lectures, oral presentations, etc.
- Long-time asymptotic behavior of the dissipation for spatial inhomogeneous Fokker-Planck equations
Masashi Mizuno
Geometric Aspects of Partial Differential Equations, Dec. 2024, Invited - 空間不均一な拡散係数をもつFokker-Planck方程式に対する散逸項の減衰評価
水野将司
第12回弘前非線形方程式研究会, Nov. 2024, Invited - 空間不均一な拡散を持つ非線形 Fokker-Planck 方程式の自由エネルギーの長時間挙動
荒木康太; 水野将司
日本応用数理学会2024年度 年会, Sep. 2024 - 不均一な拡散を持つ非線形 Fokker–Planck 方程式に対するエントロピー消散法
Yekaterina Epshteyn; Chun Liu; 水野 将司
2024年度日本数学会 秋季総合分科会, Sep. 2024 - 空間不均一な拡散を持つ非線形 Fokker–Planck 方程式の自由エネルギーの長時間挙動
荒木康太; 水野将司
2024年度日本数学会 秋季総合分科会, Sep. 2024 - 結晶成長の数理モデルとその数学解析
水野将司
第45回発展方程式若手セミナー, Invited - Recent Study for Evolution of Grain Boundaries Including Dynamic Lattice Misorientations and Triple Junction Drag
Masashi Mizuno
Mathematics of Multiscale and Multiphysics Phenomena in Materials Science, 2024, Invited - Extension of the entropy dissipation method to inhomogeneous non-linear Fokker-Planck equations
Masashi Mizuno
The 81st Fujihara seminar, Mathematical Aspects for Interfaces and Free Boundaries, Jun. 2024, Invited - 結晶粒界の数理モデルとŁojasiewicz-Simon不等式
水野将司
Takamatsu Workshop on Differential Equations and Related Topics, Mar. 2024, Invited - 結晶粒界の数理モデルと時間依存するモビリティを持つ曲線短縮流方程式
水野将司
深江における非線形偏微分方程式研究集会, Mar. 2024, Invited - 結晶成長モデルに対するŁojasiewicz-Simon不等式
水野将司
グラフと解析, Oct. 2023 - New perspectives on modeling and analysis of grain growth in polycrystals
Yekaterina Epshteyn; Katayun Barmak; Chun Liu; Masashi Mizuno
10th International Congress on Industrial and Applied Mathematics, Aug. 2023 - Entropy dissipation methods for Nonlinear inhomogeneous Fokker-Planck models
Masashi Mizuno; Yekaterina Epshteyn; Chun Liu; Chang Liu
10th International Congress on Industrial and Applied Mathematics, Aug. 2023 - A stochastic model of grain boundary motion
Masashi Mizuno
Mathematical Aspects for Interfaces and Free Boundaries, Jun. 2023, Invited - 結晶粒界の運動モデルに由来する Fokker-Planck方程式の解の長時間挙動
水野 将司; Epshteyn Yekaterina; Liu Chun
日本数学会 2022年度 年会 函数方程式分科会, Mar. 2022, 日本数学会 - 結晶成長の確率モデルと揺動散逸定理
水野 将司; Epshteyn Yekaterina; Liu Chun
応用数学合同研究集会2021, Dec. 2021 - Mathematical modeling for grain boundary motion with dynamic lattice misorientations and triple junction drag
水野 将司
第46回偏微分方程式論札幌シンポジウム, Aug. 2021, Invited - A curve shortening equation with time-dependent mobility related to grain boundary motions
Masashi Mizuno; Keisuke Takasao
SIAM Conference on Mathematical Aspects of Materials Science(MS21), May 2021 - Evolution of grain boundaries with dynamic lattice orientations and triple junction drag
Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
SIAM Conference on Mathematical Aspects of Materials Science(MS21), May 2021 - Dynamics of Grain Boundaries with Evolving Lattice Orientations and Triple Junctions
Yekaterina Epshteyn; Chun Liu; Masashi Mizuno
SIAM Conference on Analysis of Partial Differential Equations 2019, Dec. 2019, Not invited - Mathematical modeling of grain boundary motion including dynamic misorientations and triple junction drag
Masashi Mizuno
The 84th Midwest PDE Seminar, Oct. 2019, Invited - 結晶方位差と三重点が時間発展する結晶粒界のダイナミクス
表面・界面ダイナミクスの数理 １７, Apr. 2019, Invited - 結晶成長の数理と結晶方位差, 三重点の関係
南大阪応用数学セミナー, Apr. 2019, Not invited - 結晶方位差と三重点による結晶粒界の発展方程式
水野 将司; Epshteyn Yekaterina; Liu Chun
日本数学会 2019年度 年会 応用数学分科会, Mar. 2019, 日本数学会, Not invited - 結晶方位差と三重点による結晶粒界の発展方程式
名古屋偏微分方程式研究集会, Oct. 2018 - 結晶方位差と三重点による結晶粒界の発展方程式
Epshteyn Yekaterina; Liu Chun; 水野 将司
日本応用数理学会 2018年度 年会, Sep. 2018, 日本応用数理学会, Not invited - Gradient estimates for mean curvature flow with Neumann boundary conditions
Theory of evolution equations and applications to nonlinear problems, Oct. 2016, Invited - 平均曲率流のグラフ解の境界勾配評価
第5回岐阜数理科学研究会, Aug. 2016, Invited - Existence of Brakke's flow with Neumann boundary conditions
PDE Workshop at Sendai, May 2016, Invited - Neumann境界条件における移流項付き平均曲率流の勾配評価について
高棹圭介; 水野将司
日本数学会 2015年度秋季総合分科会, Sep. 2015, 日本数学会, Not invited - The singular limit problem of the Allen-Cahn equation with Neumann boundary conditions
水野 将司; 利根川 吉廣
日本数学会2014年度秋季総合分科会, Sep. 2014, Not invited - Allen-Cahn方程式の特異極限の境界挙動とエネルギーの第一変分
水野 将司
松山解析セミナー2014, Feb. 2014, Invited - Convergence of the Allen-Cahn equation with Neumann boundary conditions on convex domains
Masashi MIZUNO
One-day workshop on geometric variational problems, Nov. 2013, Not invited - Boundary behavior of the singular limit of the Allen-Cahn equation on convex domains
Masashi MIZUNO
Workshop on Nonlinear Partial Differential Equations-- Japan-China Joint Project for Young Mathematicians 2013, Oct. 2013, Invited - Weak mean curvature flow and boundary monotonicity formula for the Allen-Cahn equation
Harmonic analysis and PDEs on manifolds, Apr. 2013, Invited - 境界条件付Allen-Cahn方程式に対する境界単調性公式とエネルギーの第一変分
第7回青葉山勉強会, Feb. 2013, Invited - Mean curvature flow and boundary monotonicity formula for the Allen-Cahn equation
微分方程式の総合的研究, Dec. 2012, Invited - Neumann境界条件下のAllen-Cahn方程式に対する境界単調性公式
水野将司; 利根川 吉廣
日本数学会2012年度 秋季総合分科会 函数方程式論分科会, Sep. 2012, Not invited - Boundary monotonicity formula for the Allen-Cahn equation
The 13th Northeastern Symposium on Mathematical Analysis, Feb. 2012, Not invited - H\"older regularity for solutions of the evolutional p-Laplace equation with external forces
The 7th HU and SNU Symposium on Mathematics - Recent developments in mathematical analysis and related fields -, Nov. 2011, Invited - 発展$p$-Laplace方程式の解に対するH\"older評価について
日本数学会2011年度 秋季総合分科会 函数方程式論分科会, Sep. 2011, Not invited - 退化Keller-Segel系の解の正則性と漸近挙動
若手のための偏微分方程式と数学解析, Feb. 2011, Invited - Regularity and asymptotic behavior for solutions to the Keller-Segel system of degenerate type
The 3rd workshop on elliptic and parabolic differential equations in Sendai, Dec. 2010, Invited - 多孔質媒質方程式の解に対するH\"older評価
日本数学会2010年度 秋季総合分科会 函数方程式論分科会, Sep. 2010, Not invited - 退化Keller-Segel方程式系の解に対するH\"older連続性と漸近安定性について
水野将司; 小川卓克
日本数学会2010年度 年会 函数方程式論分科会, Mar. 2010, Not invited - H\"older estimates for solutions of some degenerate parabolic equation and its application
The 11th Northeastern Symposium on Mathematical Analysis, Feb. 2010, Invited - H\"older continuity for some degenerate parabolic equation and its application
Masashi Mizuno; Takayoshi Ogawa
RIMS conference "Nonlinear evolution equations and mathematical modeling, Oct. 2009, Invited - Harnack estimates for some nonlinear parabolic equation related to the mean curvature flow
Non-linear PDEs and its application, Jan. 2008, Invited - Regularity estimates for some nonlinear parabolic equation related to the mean curvature flow
Nonlinear Analysis of Curves and Surfaces, Dec. 2007, Invited - 平均曲率流方程式に由来する半線形放物型方程式の解に対する正則性評価について
日本数学会 2007年度 秋季総合分科会 函数方程式論分科会, Sep. 2007, Not invited - Harnack estimates for some semilinear parabolic equation related to the mean curvature flow
The 8th Northeastern Symposium on Mathematical Analysis, Feb. 2007
Affiliated academic society
Research Themes
- Canonical mean curvature flow and its application to evolution problems
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2023 - 31 Mar. 2028
利根川 吉廣; 高坂 良史; 石井 克幸; 三浦 達哉; 高棹 圭介; 可香谷 隆; 小野寺 有紹; 水野 将司 - Construction of a new mathematical model of grain boundary motion and development in the theory of differential equations
日本学術振興会, 科学研究費助成事業, Apr. 2022 - Mar. 2027
水野 将司 - 結晶成長モデルにおける結晶方位差と三重点に関する数学解析
日本学術振興会, 科学研究費助成事業, Apr. 2018 - Mar. 2022
MIZUNO Masashi - 動的幾何問題の変分解析
日本学術振興会, 科学研究費助成事業, May 2013 - Mar. 2017
利根川吉廣 - 境界条件付平均曲率流の解の境界挙動と非線形退化放物型方程式
日本学術振興会, 科学研究費助成事業, Apr. 2013 - Mar. 2016
Mizuno Masashi - 偏微分方程式論を用いた動く界面の正則性の解析
日本学術振興会, 東北大学 COE 特別研究奨励費 (若手イニシアティブC), Apr. 2009 - Mar. 2011
水野 将司
Academic Contribution Activities
- Critical phenomena in Nonlinear Partial Differential Equations, Harmonic analysis, and Functional inequalities
Planning etc
07 Nov. 2023 - 10 Nov. 2023 - Mathematical Aspects of Multiscale Phenomena in Materials and Complex Fluids
Planning etc
10th International Congress on Industrial and Applied Mathematics, 20 Aug. 2023 - 25 Aug. 2023 - 第41回発展方程式若手セミナー
Planning etc
群馬県 伊香保 温泉旅館 ふくぜん, 26 Aug. 2019 - 29 Aug. 2019
