Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations

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May 2010, 9(3): 813-818. doi: 10.3934/cpaa.2010.9.813

Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations

1.	Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004
2.	Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037

Received April 2009 Revised August 2009 Published January 2010

Abstract
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We prove local in time existence and uniqueness of solutions of the ideal inhomogeneous magnetohydrodynamic equations.

Keywords: local existence, inhomogeneous Euler equations., Ideal inhomogeneous MHD.

Mathematics Subject Classification: Primary: 35Q35, 76D03; Secondary: 76D0.

Citation: Yong Zhou, Jishan Fan. Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations. Communications on Pure & Applied Analysis, 2010, 9 (3) : 813-818. doi: 10.3934/cpaa.2010.9.813

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