Existence of strong solutions to Compressible Navier-Stokes equations with degenerate viscosities and vacuum

Series: 
PDE Seminar
Tuesday, September 9, 2014 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
We identify sufficient conditions on initial data to ensure the existence of a unique strong solution to the Cauchy problem for the Compressible Navier-Stokes equations with degenerate viscosities and vacuum (such as viscous Saint-Venants model in $\mathbb{R}^2$). This is a recent work joint with Yachun Li and Ronghua Pan.