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On local strong solutions to the Cauchy problem of the two-dimensional full compressible magnetohydrodynamic equations with vacuum and zero heat conduction |
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| Institution: | 1. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, PR China;2. School of Science, Beijing University of Chemical Technology, Beijing 100029, PR China;3. CEMA, Central University of Finance and Economics, Beijing 100081, PR China;1. University of Göttingen, Institute for Mathematical Stochastics, Goldschmidtstraße 7, 37077 Göttingen, Germany;2. Saarland University, Department of Mathematics, Postfach 151150, 66041 Saarbrücken, Germany |
| Abstract: | This paper concerns the Cauchy problem of the two-dimensional full compressible magnetohydrodynamic equations with zero heat-conduction and vacuum as far field density. In particular, the initial density can have compact support. We prove that the Cauchy problem admits a local strong solution provided both the initial density and the initial magnetic field decay not too slow at infinity. |
| Keywords: | Compressible magnetohydrodynamic equations Two-dimensional space Vacuum Zero heat-conduction Strong solutions Cauchy problem |
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