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| GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS |
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Citation： |
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 B,2005,26(4):491~510 |
| Page view： 1117
Net amount： 775 |
Authors： |
LI Yachun; WANG Libo |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10101011) and the Natural Science Foundation of Shanghai (No.04ZR14090). |
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| 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 $L^\infty$ 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 $L^\infty$. |
Keywords： |
Relativistic Euler equations, Entropy solutions, Vacuum, Uniqueness, Global stability |
Classification： |
35B40, 35A05, 76N15, 35B35, 35L65 |
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