Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (3): 719-745.doi: 10.1016/S0252-9602(15)30017-5

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INCOMPRESSIBLE LIMIT OF THE NON-ISENTROPIC MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAINS

Shu WANG1, Zili XU2,3   

  1. 1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
    2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China;
    3. College of Information Engineering, Zhong Zhou University, Zhengzhou 450044, China
  • Received:2014-05-18 Revised:2014-09-08 Online:2015-05-01 Published:2015-05-01
  • Supported by:

    Wang is supported by NSFC (11371042), China 973 program (2011 CB808002), BSFC (1132006), CIT & TCD (20130312), and the fund of the Beijing Education Committee (KZ 201210005005).

Abstract:

The incompressible limit of the non-isentropic magnetohydrodynamic equations with zero thermal coefficient, in a two dimensional bounded domain with the Dirichlet condition for velocity and perfectly conducting boundary condition for magnetic field, is rigorously justified.

Key words: Low Mach number limit, non-isentropic magnetohydrodynamic equations, bounded domain

CLC Number: 

  • 76G25
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