Analysis Seminar

On Multi-Dimensional Compressible Navier-Stokes System with Possible Large Oscillations and Vacuum

Speaker: Zhouping Xin, Chinese University of Hong Kong

Location: Warren Weaver Hall 1302

Date: Thursday, April 17, 2014, 11 a.m.


In this talk, I will discuss some of recent results on the large time well-posedness of classical solutions to the multi-dimensional compressible Navier-Stokes system with possible large oscillations and vacuum.

The focus will be on finite-time blow-up of classical solutions for the 3-D full compressible Navier-Stokes system, and the global existence of classicla solutions to the isentropic compressible Navier-Stokes system in both 2-D and 3-D in the presence of vacuum and possible large oscillations. Some new estimates on the fast decay of the pressure in the presence of vacuum will be presented, which are crucial for the well-posedness theory in 2-dimension.