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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| 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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| _version_ | 1849397017120342016 |
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| author | Ridha Selmi |
| author_facet | Ridha Selmi |
| author_sort | Ridha Selmi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a971e322ebfc4be18a19e445f9a40a24 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a971e322ebfc4be18a19e445f9a40a242025-08-20T03:39:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2870428704Convergence results for MHD systemRidha Selmi0Département de Mathématiques, Institut Supérieur d'Informatique, Université de Tunis El-Manar, 2 rue Abou Rayhane Bayrouni, l'Ariana 2080, TunisiaA 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.http://dx.doi.org/10.1155/IJMMS/2006/28704 |
| spellingShingle | Ridha Selmi Convergence results for MHD system International Journal of Mathematics and Mathematical Sciences |
| title | Convergence results for MHD system |
| title_full | Convergence results for MHD system |
| title_fullStr | Convergence results for MHD system |
| title_full_unstemmed | Convergence results for MHD system |
| title_short | Convergence results for MHD system |
| title_sort | convergence results for mhd system |
| url | http://dx.doi.org/10.1155/IJMMS/2006/28704 |
| work_keys_str_mv | AT ridhaselmi convergenceresultsformhdsystem |