| Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations |
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| 作者姓名： | Yuejun PENG Shu WANG |
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| 作者单位： | Yuejun PENG（Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France） ;
Shu WANG（College of Applied Sciences, Beijing University of Technology, Beijing 100022, China） ; |
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| 基金项目： | 国家自然科学基金;北京市自然科学基金 |
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| 摘 要： | In this paper,the convergence of time-dependent Euler-Maxwell equations to compressible Euler-Poisson equations in a torus via the non-relativistic limit is studied. The local existence of smooth solutions to both systems is proved by using energy esti- mates for first order symmetrizable hyperbolic systems.For well prepared initial data the convergence of solutions is rigorously justified by an analysis of asymptotic expansions up to any order.The authors perform also an initial layer analysis for general initial data and prove the convergence of asymptotic expansions up to first order.
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| 关 键 词： | 欧拉-麦克斯韦方程式 可压缩欧拉-泊松方程式 相对论 数学问题 |
| 收稿时间： | 19 December 2005 |
| 修稿时间： | 2013/10/6 0:00:00 |
Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations |
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| Yuejun PENG,Shu WANG.Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations[J].Chinese Annals of Mathematics,Series B,2007,28(5):583-602. |
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| Authors: | Yuejun PENG and Shu WANG |
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| Institution: | 1. Laboratoire de Mathématiques, CNRS UMR 6620, Université Blaise Pascal (Clermont-Ferrand 2), 63177 Aubière cedex, France
2. College of Applied Sciences, Beijing University of Technology, Beijing 100022, China |
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| Abstract: | In this paper,the convergence of time-dependent Euler-Maxwell equations to compressible Euler-Poisson equations in a torus via the non-relativistic limit is studied. The local existence of smooth solutions to both systems is proved by using energy esti- mates for first order symmetrizable hyperbolic systems.For well prepared initial data the convergence of solutions is rigorously justified by an analysis of asymptotic expansions up to any order.The authors perform also an initial layer analysis for general initial data and prove the convergence of asymptotic expansions up to first order. |
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| Keywords: | Euler-Maxwell equations Compressible Euler-Poisson equations Non-relativistic limit Asymptotic expansion and convergence |
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