Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-00690237
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

Identifiers

  • HAL Id : hal-00690237, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

182