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Preprint 2010-015

L solutions for a model of polytropic gas flow with diffusive entropy

Hermano Frid, Helge Holden, and Kenneth H. Karlsen

Abstract: We establish the global existence of L solutions for a model of polytropic gas flow with diffusive entropy. The result is obtained by showing the convergence of a class of finite difference schemes, which includes the Lax–Friedrichs and Godunov schemes. Such convergence is achieved by proving the estimates required for the application of the compensated compactness theory.

Paper:
Available as PDF (692 Kbytes).
Author(s):
Hermano Frid
Helge Holden
Kenneth H. Karlsen
Submitted by:
; 2010-09-05.