Mathematical Sciences: Nonlinear Partial Differential Equations with Maximum Principle and Their Applications to Optimal Control and Phase Transitions

数学科学：具有极大值原理的非线性偏微分方程及其在最优控制和相变中的应用

• 批准号: 9200801
• 负责人: Halil Soner
• 金额: $ 10.09万
• 依托单位: Carnegie-Mellon University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200801&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nonlinear; Partial; Differential

The principal investigator will use viscosity solution techniques to analyse evolutionary phase transitions, singular stochastic controls, and boundary control problems. The work on mean curvature flows will lead to a better understanding of the relation between differential geometry and the mathematical theory of fluids. Motion by mean curvature is one example of evolution of surfaces determined by their shape. Evolutionary interface problems describe phase transition boundaries and the motion in physical materials.

主要研究者将使用粘度溶液 技术来分析演化相变，奇异 随机控制和边界控制问题。 的工作 平均曲率流将导致更好地理解 微分几何与数学的关系 流体理论 平均曲率运动是 由其形状决定的表面。 演化界面 问题描述相变边界和运动， 物理材料。