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GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS
作者姓名:LI Yachun  WANG Libo
作者单位:LI YACHUN WANG LIBO Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China. Department of Mathematics,Shanghai Jiao Tong University,Shanghai 200240,China.
基金项目:Project supported by the National Natural Science Foundation of China (No.10101011) the Natural Science Foundation of Shanghai (No.04ZR14090).
摘    要:The global stability of Lipschitz continuous solutions with discontinuous initial data for the relativistic Euler equations is established in a broad class of entropy solutions in L∞containing vacuum states. As a corollary, the uniqueness of Lipschitz solutions with discontinuous initial data is obtained in the broad class of entropy solutions in

关 键 词:EULER方程  熵解  真空状态  唯一性  初始值  稳定性
收稿时间:1/5/2017 12:00:00 AM

GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS
LI Yachun,WANG Libo.GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS[J].Chinese Annals of Mathematics,Series B,2005,26(4):491-510.
Authors:LI Yachun and WANG Libo
Institution:Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China.
Abstract:The global stability of Lipschitz continuous solutions with discontinuous initial data for the relativistic Euler equations is established in a broad class of entropy solutions in L∞ containing vacuum states. As a corollary, the uniqueness of Lipschitz solutions with discontinuous initial data is obtained in the broad class of entropy solutions in L∞.
Keywords:Relativistic Euler equations  Entropy solutions  Vacuum  Uniqueness  Global stability
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