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1998 Remarks on a nonhomogeneous model of magnetohydrodynamics
B. Desjardins, C. Le Bris
Differential Integral Equations 11(3): 377-394 (1998).

Abstract

This paper is devoted to a model of magnetohydrodynamics described by a parabolic system of partial differential equations coupling the nonhomogeneous incompressible Navier--Stokes equations and Maxwell's equations. In the case of two-dimensional flows, we prove global regularity results under the assumption that the fluids' viscosities are close enough to their average. On the other hand, a more detailed description of the interface and of the regularity of the third component of the magnetic field is given when the fluids have the same viscosity.

Citation

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B. Desjardins. C. Le Bris. "Remarks on a nonhomogeneous model of magnetohydrodynamics." Differential Integral Equations 11 (3) 377 - 394, 1998.

Information

Published: 1998
First available in Project Euclid: 30 April 2013

zbMATH: 1067.76097
MathSciNet: MR1745545

Subjects:
Primary: 76W05
Secondary: 35Q60

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.11 • No. 3 • 1998
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