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| Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations |
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Citation： |
Yuejun PENG,Shu WANG.Convergence of Compressible Euler-Maxwell Equations to Compressible Euler-Poisson Equations[J].Chinese Annals of Mathematics B,2007,28(5):583~602 |
| Page view： 1345
Net amount： 891 |
Authors： |
Yuejun PENG; Shu WANG |
Foundation： |
the European project “Hyperbolic and Kinetic Equations” (No. HPRN-CT-2002-00282), the National Natural Science Foundation of China (No.10471009) and the Beijing Science Foundation of China (No. 1052001). |
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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 estimates 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. |
Keywords： |
Euler-Maxwell equations, Compressible Euler-Poisson equations, Non-relativistic limit, Asymptotic expansion and convergence |
Classification： |
35B40, 35C20, 35L60, 35Q35 |
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