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

Series
PDE Seminar
Time
Tuesday, September 9, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Shengguo Zhu – Georgia Tech
Organizer
Geng Chen
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.