Convergence results for MHD system

Selmi, Ridha

doi:https://doi.org/10.1155/IJMMS/2006/28704

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 028704 | https://doi.org/10.1155/IJMMS/2006/28704

Convergence results for MHD system

Ridha Selmi^1,2

Received14 Apr 2005

Revised29 Sept 2005

Accepted26 Jan 2006

Published06 Jun 2006

Abstract

A magnetohydrodynamic system is investigated in both cases of the periodic domain T3 and the whole space R3. Existence and uniqueness of strong solution are proved. Asymptotic behavior of the solution when the Rossby number ε goes to zero is studied. The proofs use the spectral properties of the penalization operator and involve Friedrich's method, Schochet's methods, and product laws in Sobolev spaces of sufficiently large exponents.

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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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