Convergence results for MHD system

Ridha Selmi

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-19

Abstract:

A magnetohydrodynamic system is investigated inboth cases of the periodic domain T 3 and the whole space R 3 . Existence and uniqueness of strong solution are proved. Asymptoticbehavior of the solution when the Rossby number ε goes to zero is studied. The proofs use the spectral properties ofthe penalization operator and involve Friedrich's method,Schochet's methods, and product laws in Sobolev spaces ofsufficiently large exponents.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:028704

DOI: 10.1155/IJMMS/2006/28704

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