Global Solutions of the Compressible Navier-Stokes Equations
Host
Department of Applied Mathematics
Speaker
Cheng Yu
Department of Mathematics, University of Florida
https://people.clas.ufl.edu/chengyu/
Description
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 \(y>1\), in three dimensional space, with large initial data, possibly vanishing on the vacuum. This is a joint work with D. Bresch and A. Vasseur.
Event Topic
Stochastic & Multiscale Modeling and Computation