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A coupled system arising in Magnetohydrodynamics

Jean-Frédéric Gerbeau 1 Claude Le Bris 1, 2
1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 MICMAC - Methods and engineering of multiscale computing from atom to continuum
Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
Abstract : We study a MHD system consisting of the stationary Maxwell equations coupled with the transient Navier-Stokes equations. We prove that a solution exists and is unique for small time and small data. We show that the system may become ill-posed as soon as the fluid velocity becomes too large.
Keywords : MHD Navier-Stokes equations existence of solutions
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Journal articles
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https://hal.inria.fr/hal-00691693
Contributor : Jean-Frédéric Gerbeau Connect in order to contact the contributor
Submitted on : Thursday, April 26, 2012 - 6:42:54 PM
Last modification on : Tuesday, January 11, 2022 - 11:16:20 AM

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Jean-Frédéric Gerbeau, Claude Le Bris. A coupled system arising in Magnetohydrodynamics. Applied Mathematics Letters, Elsevier, 1999, 12 (3), pp.53-57. ⟨10.1016/S0893-9659(98)00172-4⟩. ⟨hal-00691693⟩

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