DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** C. David Levermore, University of Maryland, College Park

**Title: ***
Dispersive Corrections to the Compressible Navier-Stokes System
*

**Abstract:**
Kinetic theory gives dispersive corrections to the compressible
Navier-Stokes system of gas dynamics. The so-called dispersive
Navier-Stokes system that arises dissipates the Euler entropy,
and so seem formally well-posed. We give local well-posedness and
smoothing results for classical solutions over the entire space that
satisfy asymptotic flatness and nontrapping conditions. Due to
degeneracies in both the disspersion and dissipation of the system,
different components of the solution gain different regularity. The
coupling of these components is analyzed using pseudodifferential
operators.

**Time:** Friday, Oct. 24, 2008, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491