Mathematical analysis and development of free boundary problems arising in grain boundary motion phenomena

晶界运动现象中产生的自由边界问题的数学分析和发展

• 批准号: 26400179
• 负责人: YAMAZAKI NORIAKI
• 金额: $ 3万
• 依托单位: Kanagawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2014
• 资助国家: 日本
• 起止时间: 2014-04-01 至 2018-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-26400179/
• 关键词: 関数方程式; 実函数論; 最適制御; 自由境界; 力学系

项目成果

Convergence of numerical algorithm for approximating optimal control problems of phase filed system with singular diffusivity

奇异扩散系数相场系统最优控制问题逼近数值算法的收敛性

• 发表时间: 2016
• 期刊: Advances in Mathematical Sciences and Applications
• 作者: T.Suzuki;K. Takasao and N. Yamazaki;松永秀章;M. Aiki and T. Iguchi;E. Nakaguchi and K. Osaki;K. Shirakawa and N. Yamazaki
• 通讯作者: K. Shirakawa and N. Yamazaki

Lagrange multiplier and singular limit of double-obstacle problems for the Allen--Cahn equation with constraint

带约束的Allen--Cahn方程的拉格朗日乘子和双障碍问题的奇异极限

• DOI: 10.1002/mma.3905
• 发表时间: 2017
• 期刊: Math. Methods Appl. Sci.
• 作者: M.H. Farshbaf-Shaker;T. Fukao and N. Yamazaki
• 通讯作者: T. Fukao and N. Yamazaki

PHASE－FIELD SYSTEMS FOR GRAIN BOUNDARY MOTIONS UNDER ISOTHERMAL SOLIDIFICATIONS

等温凝固下晶界运动的相场系统

• 发表时间: 2014
• 期刊: Advances in Mathematical Sciences and Applications
• 作者: Ken Shirakawa;Hiroshi Watanabe;Noriaki Yamazaki
• 通讯作者: Noriaki Yamazaki

Singular limit of Allen-Cahn equation with constraints and its Lagrange multiplier

带约束的Allen-Cahn方程的奇异极限及其拉格朗日乘子

• 发表时间: 2015
• 期刊: Discrete and continuous dynamical systems, supplement 2015
• 作者: Mohammad Hassan Farshbaf-Shaker;Takeshi Fukao and Noriaki Yamazaki
• 通讯作者: Takeshi Fukao and Noriaki Yamazaki

New Class of Doubly Nonlinear Evolution Equations Governed by Time-Dependent Subdifferentials

一类由时相关次微分控制的新双非线性演化方程

• DOI: 10.1007/978-3-319-64489-9_11
• 发表时间: 2017
• 期刊: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs
• 作者: Kenmochi Nobuyuki;Shirakawa Ken;Yamazaki Noriaki
• 通讯作者: Yamazaki Noriaki