Global well posedness for the Maxwell–Navier–Stokes system in 2D
نویسنده
چکیده
We prove global existence of regular solutions to the full MHD system (or more precisely the Maxwell–Navier–Stokes system) in 2D. We also provide an exponential growth estimate for the Hs norm of the solution when the time goes to infinity. © 2009 Elsevier Masson SAS. All rights reserved. Résumé Nous montrons l’existence globale de solutions régulières pour le système complet de la MHD (plus précisément le système de Maxwell–Navier–Stokes) en 2D. Nous donnons aussi une estimation de croissance sur les normes Hs en temps grand. © 2009 Elsevier Masson SAS. All rights reserved. MSC: 35Q30; 82C31; 76A05
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