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Journal Articles Applied Mathematics Letters Year : 1999

A coupled system arising in Magnetohydrodynamics

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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.

Dates and versions

hal-00691693 , version 1 (26-04-2012)

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