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Existence of solution for a density-dependent magnetohydrodynamic equation

Abstract : We prove a global-in-time existence result of a weak solution for a magnetohydrodynamic (MHD) problem set in a bounded domain of R^3. The fluid is supposed to be incompressible but with an unhomogeneous density, viscosity and electrical conductivity. The displacement currents are neglected in the time dependent Maxwell equations. The model describes in particular the flow of two immiscible fluids in presence of a magnetic field.
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Contributor : Jean-Frédéric Gerbeau Connect in order to contact the contributor
Submitted on : Sunday, April 22, 2012 - 3:57:16 PM
Last modification on : Thursday, February 3, 2022 - 11:14:15 AM


  • HAL Id : hal-00690237, version 1



Jean-Frédéric Gerbeau, Claude Le Bris. Existence of solution for a density-dependent magnetohydrodynamic equation. Advances in Differential Equations, Khayyam Publishing, 1997, 2 (3), pp.427-452. ⟨hal-00690237⟩



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