Existence of global smooth solution to the relativistic Euler equations |
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| Affiliation: | 1. Department of Applied Mathematics, South-Central University For Nationalities, Wuhan 430074, PR China;2. Department of Mathematics, Laboratory of Nonlinear Analysis, Central China Normal University, Wuhan 430079, PR China |
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| Abstract: | In this paper, we prove an existence theorem of global smooth solutions to the Cauchy problem for the one-dimensional relativistic Euler equations. The analysis is based on a priori estimates which are obtained by the characteristic method and maximum principle. |
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