Multifaceted analysis for stable structures of free-boundaries governed by nonlinear variational inequalities

2015 Fiscal Year Final Research Report

• Project/Area Number: 24740099
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Global analysis
• Research Institution: Chiba University
• Principal Investigator: Shirakawa Ken 千葉大学, 教育学部, 准教授 (50349809)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 自由境界 / 非線形変分不等式 / 安定構造 / 多角的観点からの考察 / 力学系の観点 / 近似の観点 / 結晶粒界 / 統一的な解法

Outline of Final Research Achievements

The objective of the study is to observe the stable structures of free-boundaries from multifaceted viewpoints. The main advances are in the study of grain boundaries, and an original method which enables the uniform treatment of a number of mathematical models is established. In addition, some new research initiatives are obtained through the derivations of improved models which are coupled with heat exchanges, anisotropies, dynamic boundary conditions, and so on.

Free Research Field

非線形解析学