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.
https://hal.inria.fr/hal-00690237
Contributeur : Jean-Frédéric Gerbeau
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Soumis le : dimanche 22 avril 2012 - 15:57:16
Dernière modification le : vendredi 25 mai 2018 - 12:02:03
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〉
