Mathematical Sciences: Mathematical Modeling In Fluid Dynamics

这个项目将开发一种统一的方法来研究磁流体动力学和不可压缩流体动力学中出现的方程的解的存在性、唯一性和稳定性。主要问题涉及根据基本物理原理形成的非线性特征值问题。将进行解析和数值研究来解决这些问题。这个项目试图解释有关地球物理、海洋学和核聚变感兴趣的流体的基本问题。

This project will develop a unified approach to existence, uniqueness and stability of solutions to equations arising in magnetohydrodynamics and the dynamics of incompressible fluids. The main problems involve nonlinear eigenvalue problems formulated from basic physical principles. Analytic and numerical studies will be undertaken to solve such problems. This project attempts to explain fundamental questions concerning fluids of interest to geophysics, oceanography, and nuclear fusion.