The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas |
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Authors: | Jianwei Yang Shu Wang Dang Luo |
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Institution: | a College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, PR China b College of Applied Sciences, Beijing University of Technology, PingLeYuan 100, Chaoyang District, Beijing 100022, PR China |
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Abstract: | This paper concerns the non-isentropic Euler-Maxwell equations for plasmas with short momentum relaxation time. With the help of the Maxwell-type iteration, it is obtained that, as the relaxation time tends to zero, periodic initial-value problem of certain scaled non-isentropic Euler-Maxwell equations has unique smooth solutions existing in the time interval where the corresponding classical drift-diffusion model has smooth solutions. Meanwhile, we justify a formal derivation of the corresponding drift-diffusion model from the non-isentropic Euler-Maxwell equations. |
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Keywords: | Non-isentropic Euler-Maxwell equations Diffusive relaxation limit The Maxwell iteration Energy estimates |
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