Articles

CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS

  • Xin XU
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  • Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received date: 2017-03-14

  Revised date: 2017-10-16

  Online published: 2018-06-25

Supported by

The research is supported by Postdoctoral Science Foundation of China through Grant 2017M610818.

Abstract

We are concerned with the zero dielectric constant limit for the full electromagneto-fluid dynamics in this article. This singular limit is justified rigorously for global smooth solution for both well-prepared and ill-prepared initial data. The explicit convergence rate is also obtained by a elaborate energy estimate. Moreover, we show that for the wellprepared initial data, there is no initial layer, and the electric field always converges strongly to the limit function. While for the ill-prepared data case, there will be an initial layer near t=0. The strong convergence results only hold outside the initial layer.

Cite this article

Xin XU . CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS[J]. Acta mathematica scientia, Series B, 2018 , 38(3) : 805 -818 . DOI: 10.1016/S0252-9602(18)30785-9

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