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A coupled system arising in magnetohydrodynamics

✍ Scribed by J.-F. Gerbeau; C. Le Bris

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
256 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis

We study an 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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