Conference: Symposium about Applied Mathematics


Videoconference: Compressible Euler Equations with Multiple Forcing

{{_Ltalk:R}} Dr. Bin Cheng
Date: 18.12.09   Time: 14.30 - 15.30   Room: Y27H35/36

Abstract: This talk is in the general area of applied analysis of nonlinear partial differential equations arising from physical models.
In particular, it concerns the Cauchy problem of compressible Euler equations coupled with pressure and external forcing. Two prototypical PDE systems describing fluid motions are considered: 1. the 2D Shallow Water equations with the Coriolis force; 2. the multi-D Euler-Poisson equations with repulsive/attractive Poisson force. I will discuss from a theoretical point of view how the presence of these external forces affects the behaviors of classical solutions and gives rise to new phenomena and methodologies.
For instance, the Coriolis force prevents/delays singularity formation that is otherwise inherent for compressible Euler equations. An expository introduction is also included.