A coupled system arising in Magnetohydrodynamics

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.
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https://hal.inria.fr/hal-00691693
Contributeur : Jean-Frédéric Gerbeau <>
Soumis le : jeudi 26 avril 2012 - 18:42:54
Dernière modification le : vendredi 25 mai 2018 - 12:02:03

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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. 〈http://www.sciencedirect.com/science/article/pii/S0893965998001724〉. 〈10.1016/S0893-9659(98)00172-4〉. 〈hal-00691693〉

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