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.