Convergence results for MHD system
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 pen...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/28704 |
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| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |