American Institute of Mathematical Sciences

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2005, 2005(Special): 397-402. doi: 10.3934/proc.2005.2005.397

Magnetic hydrodynamics equations in movingboundaries

Hiroshi Inoue 1,

1. 

Ashikaga Institute of Technology, 268-1 Omae Ashikaga, Tochigi, 326-8558, Japan

Received  September 2004 Revised  May 2005 Published  September 2005

We show the existence and uniqueness of the strong solutions of the zero Dirichlet problems of the coupled Navier-Stokes equations which govern the incompressible magnetic fluid. We derive the existence of a unique strong solution for suitable initial conditions which depend on the space dimensions. The proofs have been shown to apply the contraction mapping theorem by using the theory of the sub-differential operators.
Keywords: Coupled Navier-Stokes equation., Strong Solution.
Mathematics Subject Classification: Primary: 76W05; Secondary: 35K7.
Citation: Hiroshi Inoue. Magnetic hydrodynamics equations in movingboundaries. Conference Publications, 2005, 2005 (Special) : 397-402. doi: 10.3934/proc.2005.2005.397
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