GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

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

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (4): 1215-1224.doi: 10.1016/S0252-9602(16)30063-7

• 论文 • 上一篇

GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

曹文涛, 黄飞敏, 李天虹, 于慧敏

1 Academy of Mathematics and System Sciences, CAS, Beijing 100190, China;
2 Department of Mathematics, Shandong Normal University, Jinan 250014, China

收稿日期:2016-04-07 修回日期:2016-05-01 出版日期:2016-08-25 发布日期:2016-08-25
通讯作者: Huimin YU,E-mail:hmyu@amss.ac.cn E-mail:hmyu@amss.ac.cn
作者简介:Wentao CAO,E-mail:cwt@amss.ac.cn;Feimin HUANG,E-mail:fhuang@amt.ac.cn;Tianhong LI,E-mail:thli@math.ac.cn
基金资助:
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).

GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

Wentao CAO, Feimin HUANG, Tianhong LI, Huimin YU

1 Academy of Mathematics and System Sciences, CAS, Beijing 100190, China;
2 Department of Mathematics, Shandong Normal University, Jinan 250014, China

Received:2016-04-07 Revised:2016-05-01 Online:2016-08-25 Published:2016-08-25
Contact: Huimin YU,E-mail:hmyu@amss.ac.cn E-mail:hmyu@amss.ac.cn
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).

摘要/Abstract

摘要：

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.

关键词: Isentropic, compressible Euler equations, compensated compactness, uniform estimate, maximum principle

Abstract:

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

中图分类号:

35L65

曹文涛, 黄飞敏, 李天虹, 于慧敏. GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM[J]. 数学物理学报(英文版), 2016, 36(4): 1215-1224.

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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GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

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