The relaxation-time limit in the compressible Euler–Maxwell equations |
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| Authors: | Jianwei Yang Shu Wang Juan Zhao |
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| Affiliation: | aCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, PR China;bCollege of Applied Sciences, Beijing University of Technology, PingLeYuan100, Chaoyang District, Beijing 100022, PR China |
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| Abstract: | The aim of this paper is to study multidimensional Euler–Maxwell equations for plasmas with short momentum relaxation time. The convergence for the smooth solutions to the compressible Euler–Maxwell equations toward the solutions to the smooth solutions to the drift–diffusion equations is proved by means of the Maxwell iteration, as the relaxation time tends to zero. Meanwhile, the formal derivation of the latter from the former is justified. |
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| Keywords: | MSC: 35B40 35C20 35L60 35Q35 |
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