Special Session 25: Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics

Universality in the Low Mach Number Limit via a Convex Integration Framework
Cheng Yu
University of Florida
USA
Co-Author(s):    Ming Chen, Alexis Vasseur, Dehua Wang
Abstract:
In this talk, I will discuss the low Mach number limit of the compressible Euler equations from the perspective of convex integration. Given any prescribed $L^2$ weak solution of the incompressible Euler equations, we construct a corresponding family of weak solutions to the compressible system via a refined convex integration scheme. We then show that, as the Mach number tends to zero, this family converges strongly to the prescribed incompressible solution. This is joint work with Ming Chen, Alexis Vasseur, and Dehua Wang.