Mathematical Sciences: Linear and Non-Linear Waves

这个项目将研究的稳定性和平衡， 等离子体的碰撞、不稳定性和散射特性 标量波动方程的束缚态， 时间周期系统，以及线性和非线性系统的正则性 色散波 基本的数学问题集中在 一类初值问题的全局存在性 这些研究在线性和非线性波找到应用 在天体物理学和热核聚变等领域。

This project will investigate stability and equilibria in plasma with collisions, instabilities and scattering properties of bound states of scalar wave equations, scattering frequencies of time periodic systems, and regularity of linear and nonlinear dispersive waves. The fundamental mathematical problems focus on global existence for certain initial value problems. These studies in linear and nonlinear waves find applications in fields such as astrophysics and thermonuclear fusion.