Mathematical Sciences: Blowup and Singularity Formations forSystems of Parabolic Equations

这个项目将研究奇点形成系统的 抛物方程 该项目的第一部分将处理 流体边界层问题中的奇异性形成 动力学 项目的第二部分将研究 潜在的几何形状和参数决定了 是否发生爆破是弱耦合系统， 方程 这些研究来源于力学，并在力学中有应用 固体和液体的混合物 各种工程设计 问题可能会受益于这个项目的结果。

This project will study singularity formation for systems of parabolic equations. The first part of the project will deal with singularity formation in boundary layer problems of fluid dynamics. The second part of the project will study the role that the underlying geometry and parameters play in determining whether or not blow up occurs is weakly coupled systems of equations. These studies come from and have applications in mechanics of solids and fluids. A wide variety of engineering design problems might benefit from the results of this project.