Global smooth solutions to relativistic Euler-Poisson equations with repulsive force |
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| Authors: | Yong-cai Geng Lei Wang |
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| Institution: | 1. Department of Mathematics, Shanghai Institute of Technology, Shanghai, 200235, China
2. Wuxi Teachers’ College, Wuxi, 214153, China
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| Abstract: | In this paper, we are concerned with the global existence of smooth solutions for the one dimensional relativistic Euler-Poisson equations. Combining certain physical background, the relativistic Euler-Poisson model is derived mathematically. By using an invariant of Lax’s method, we will give a sufficient condition for the existence of a global smooth solution to the one-dimensional Euler-Poisson equations with repulsive force. |
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| Keywords: | relativistic Euler equations relativistic Euler-poisson equations global existence characteristicbased method |
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