GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

doi:10.1016/S0252-9602(16)30063-7

Abstract

Abstract:

In this article, we develop a new technique to prove the global existene of entropy solutions to an inhomogeneous isentropic compressible Euler equations through the compensated compactness and vanishing viscosity method. In particular, the entropy solutions are uniformly bounded independent of time.

Key words: Isentropic, compressible Euler equations, compensated compactness, uniform estimate, maximum principle

CLC Number:

35L65

Wentao CAO, Feimin HUANG, Tianhong LI, Huimin YU. GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM[J].Acta mathematica scientia,Series B, 2016, 36(4): 1215-1224.

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