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

Yong Zhou; Jishan Fan

doi:10.3934/cpaa.2010.9.813

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2010, Volume 9, Issue 3: 813-818. Doi: 10.3934/cpaa.2010.9.813

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

Yong Zhou^1, and
Jishan Fan^2,

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

Received: March 31, 2009

Revised: July 31, 2009

Published: April 2010

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Abstract

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

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Mathematics Subject Classification: Primary: 35Q35, 76D03; Secondary: 76D05.

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