大下承民

オオシタヨシヒト | Oshita Yoshihito

所属機関・部署：
職名：教授

研究分野 (1件)：数理解析学

研究キーワード (2件)：非線形偏微分方程式 , Nonlinear Partial Differential Equations

競争的資金等の研究課題 (5件)：

論文 (14件)：

Takuya KOJIMA, Yoshihito OSHITA. Linear stability of radially symmetric equilibrium solutions to the singular limit problem of three-component activator-inhibitor model. Mathematical Journal of Okayama University. 2021. 63. 201-217
Barbara Niethammer, Yoshihito Oshita. A rigorous derivation of mean-field models describing 2D micro phase separation. Calculus of Variations and Partial Differential Equations. 2020. 59. 2
Kakehi Tomoyuki, Oshita Yoshihito. Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian. Mathematical Journal of Okayama University. 2017. 59. 1. 175-218
Jaeyoung Byeon, Ohsang Kwon, Yoshihito Oshita. STANDING WAVE CONCENTRATING ON COMPACT MANIFOLDS FOR NONLINEAR SCHRODINGER EQUATIONS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. 2015. 14. 3. 825-842
OSHITA Yoshihito. Gradient flow structure of mean-field models for micro phase separation (Far-From-Equilibrium Dynamics). RIMS Kokyuroku Bessatsu. 2012. B31. 13-29

MISC (8件)：

大下承民. 活性因子・抑制因子型反応拡散系の特異摂動問題とパターン形成. 応用数理. 2007. 17 (3) 215-226. 3. 215-226
大下承民. Reduced rescaled problem of some activator-inhibitor systems. 数理解析研究所講究録. 2006. 1498, 11-25. 11-25
大下承民. Fine structures arising in reaction-diffusion equations. Trends in Mathematics. 2005. 8, 77-80
大下承民. 反応拡散系に現れる微細なパターンと Young 測度. 物性研究. 2005. 84,79-96. 1. 79-96
大下承民. Fine patterns arising in reaction-diffusion systems and Young measure. 数理解析研究所講究録. 2005. 1416, 1-11

講演・口頭発表等 (35件)：

ある界面方程式の定常解の安定性および進行解の分岐について
(非線形現象の数値シミュレーションと解析2023 2023)
Existence of multi-bump standing waves with a critical frequency for nonlinear Schrodinger equations
(Variational Methods for Elliptic PDE's and Hamiltonian Systems 2008)
Hexagonal Patterns of Di-Block Copolymer Melts
(SIAM Conference on Mathematical Aspects of Materials Science 2008)
Singular limit problem for some elliptic systems
(碩学特別講演会 2008)
Uniqueness of standing waves for nonlinear Schrodinger equations
(Young Asian Conference on Partial Differential Equations 2008)

学歴 (1件)：

学位 (2件)：

所属学会 (5件)：

日本数学会 , the Mathematical Society of Japan , 日本応用数理学会 , SIAM: Society for Industrial and Applied Mathematics , the Mathematical Society of Japan

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大下 承民