The Cauchy problem for the magneto-hydrodynamic system

• Autorzy: Marco Cannone , Changxing Miao , Nicolas Prioux , Baoquan Yuan
• Języki publikacji: EN

Abstrakty

EN

We study the uniqueness and regularity of Leray-Hopf's weak solutions for the MHD equations with dissipation and resistance in different frameworks. Using different kinds of space-time estimates in conjunction with the Littlewood-Paley-Bony decomposition, we present some general criteria of uniqueness and regularity of weak solutions to the MHD system, and prove the uniqueness and regularity criterion in the framework of mixed space-time Besov spaces by applying Tao's trichotomy method.

Kategorie tematyczne

• 76W05: Magnetohydrodynamics and electrohydrodynamics
• 74H30: Regularity of solutions
• 74H25: Uniqueness of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 74
• Numer: 1
• Strony: 59-93

Daty

wydano

2006

Twórcy

autor

Marco Cannone

• Laboratoire d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, Cité Descartes-5, bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, Cedex 2, France

autor

Changxing Miao

• Institute of Applied Physics and, Computational, Mathematics, P.O. Box 8009, Beijing 100088, P.R. China

autor

Nicolas Prioux

• Laboratoire d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, Cité Descartes-5, bd Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, Cedex 2, France

autor

Baoquan Yuan

• Institute of Applied Mathematics, Academy of Mathematics & Systems Science, Chinese Academy of Sciences, Beijing 100080, P.R. China
• Henan Polytechnic University, Jiaozuo City, Henan Province, 454000, P.R. China

Identyfikatory

DOI

10.4064/bc74-0-4