American Institute of Mathematical Sciences

2013, 2013(special): 207-216. doi: 10.3934/proc.2013.2013.207

An approximation model for the density-dependent magnetohydrodynamic equations

 1 Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037 2 Department of Applied Physics, Waseda University, Tokyo, 169-8555

Received  July 2012 Published  November 2013

The global Cauchy problem for an approximation model for the density-dependent MHD system is studied. The vanishing limit on $\alpha$ is also discussed.
Citation: Jishan Fan, Tohru Ozawa. An approximation model for the density-dependent magnetohydrodynamic equations. Conference Publications, 2013, 2013 (special) : 207-216. doi: 10.3934/proc.2013.2013.207
References:
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References:
 [1] Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008), 447-476.  Google Scholar [2] Differential and Integral Equations, 11 (1998), 377-394.  Google Scholar [3] Kinetic Related Models 2 (2009), 293-305.  Google Scholar [4] Adv. Differential Equations, 2 (1997), 427-452.  Google Scholar [5] J. of Nonlinear Science, 20 (2010), 523-567.  Google Scholar [6] J. Math. Phys., 48 (2007), 065504 (28 pages).  Google Scholar [7] J. Math. Anal. Appl.,329 (2007), 298-326.  Google Scholar [8] preprint, 2009. Google Scholar [9] Math. Meth. Appl. Sci. 33 (2010), 1350-1355.  Google Scholar
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