Mathematical Sciences: Existence and Numerical Approximation of Viscous, Compressible Flows

本研究项目涉及流体力学中的Navier-Stokes方程的解。它讨论解的存在问题，这些解的定性性质，这些解与相应的无粘流问题的解之间的关系，以及精确解的有限差分近似的计算。这一研究项目的结果有望使人们更好地了解涉及可压缩粘性流体流动的物理系统，从而更好地设计这些系统。

This research program is concerned with the solutions to the Navier-Stokes equations in fluid mechanics. It addresses the question of existence of solutions, the qualitative nature of these solutions, the relationship between these solutions and the solutions of the corres- ponding inviscid flow problems, and the computation of the finite difference approximations of the exact solutions. The results of this research project are expected to lead to a better understanding of physcial systems involving compressible viscous fluid flows and hence a better design for these systems.