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Convergence results for MHD system

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  • Ridha Selmi

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.

Suggested Citation

  • Ridha Selmi, 2006. "Convergence results for MHD system," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-19, June.
    • Handle: RePEc:hin:jijmms:028704
    DOI: 10.1155/IJMMS/2006/28704
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