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Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient
Authors:Jishan Fan  Hongjun Gao  Boling Guo
Affiliation:1. Department of Applied Mathematics, Nanjing Forestry University, , Nanjing, 210037 China;2. Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, , Nanjing, 210046 China;3. Institute of Applied Physics and Computational Mathematics, , Beijing, 100088 China
Abstract:The low Mach number limit for classical solutions of the compressible magnetohydrodynamic equations without thermal conductivity is, here, studied. A uniform existence result for the Cauchy problem in urn:x-wiley:1704214:media:mma1515:mma1515-math-0001 is proved under the assumption that the initial data are uniformly bounded with respect to the Mach number in urn:x-wiley:1704214:media:mma1515:mma1515-math-0002 and are well‐prepared in urn:x-wiley:1704214:media:mma1515:mma1515-math-0003. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:incompressible limit  Mach number  MHD equations
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