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
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Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491