Global solutions of the compressible Navier-Stokes equations

Friday, January 3, 2020 - 14:00

Thackeray Hall 427

PDE and Analysis Seminar series:

Lecture 1: 2:00-2:50pm

Lecture 2: 3:00-3:50pm


Speaker Information
Cheng Yu
University of Florida

Abstract or Additional Information

In this talk, I will talk about the existence of global weak solutions for the compressible Navier-Stokes equations, in particular, the viscosity coefficients depend on the density. Our main contribution is to further develop renormalized techniques so that the Mellet-Vasseur type inequality is not necessary for the compactness.  This provides existence of global solutions in time, for the barotropic compressible Navier-Stokes equations, for any $\gamma>1$, in three dimensional space, with large initial data, possibly vanishing on the vacuum. This is a joint work with D. Bresch and A. Vasseur.