Acta mathematica scientia, Series B >
GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM
Received date: 2016-04-07
Revised date: 2016-05-01
Online published: 2016-08-25
Supported by
Feimin Huang is supported in part by NSFC Grant No. 11371349. Huimin Yu is supported in part by NSFC Grant No.11541005, Shandong Provincial Natural Science Foundation (ZR2015AM001).
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.
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 . DOI: 10.1016/S0252-9602(16)30063-7
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