Mathematical Sciences: Research in Dynamic Problems Arising in Mechanics and Control

首席研究员将继续研究 连续统动力学中的几个问题。 他特别 我将研究物质运动的连续性和动力学理论 经历相变，初始值问题的 双曲守恒律系统的Riemann问题， 分布参数控制系统 使用的工具将是 各种技术从定性理论的部分 微分方程和非线性分析。 许多自然现象都涉及到物质从 从一个阶段到另一个阶段。 举个例子，想想 你饮料里的冰块 主要研究者将 应用现代非线性分析方法， 经历相变的材料的行为， 为了控制材料不稳定时经常产生的不稳定性， 压力很大

The principal investigator will continue his research on several topics in the dynamics of continua. In particular, he will study continuum and kinetic theories of material motion undergoing phase transitions, initial value problems for the Riemann problem for systems of hyperbolic conservation laws, and distributed-parameter control systems. The tools used will be various techniques from the qualitative theory of partial differential equations and from nonlinear analysis. Many natural phenomena involve the transition of a material from one phase to another. As an example, think of what happens to the ice cubes in your drink. The principal investigator will apply modern methods of nonlinear analysis to study the dynamical behavior of materials undergoing phase transitions and also ways to control the instabilities that often result when materials are stressed.