- Series
- PDE Seminar
- Time
- Tuesday, November 6, 2012 - 3:01pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Professor Ronghua Pan – Georgia Tech – panrh@math.gatech.edu
- Organizer
- Ronghua Pan
From its physical origin, the viscosity and heat conductivity in
compressible fluids depend on absolute temperature through power laws.
The mathematical theory on the well-posedness and regularity on this setting
is widely open. I will report some recent progress made on this direction,
with emphasis on the lower bound of temperature, and global existence of
solutions in one or multiple dimensions. The relation between thermodynamics
laws and Navier-Stokes equations will also be discussed. This talk is based
on joint works with Weizhe Zhang.