The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System
The inviscid limit problem for the smooth solutions of the Boussinesq system is studied in this paper. We prove the Hs convergence result of this system as the diffusion and the viscosity coefficients vanish with the initial data belonging to Hs. Moreover, the Hs convergence rate is given if we all...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/240387 |
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| _version_ | 1832552041230106624 |
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| author | Junlei Zhu |
| author_facet | Junlei Zhu |
| author_sort | Junlei Zhu |
| collection | DOAJ |
| description | The inviscid limit problem for the smooth solutions of the Boussinesq system is studied in this paper. We prove the Hs convergence result of this system as the diffusion and the viscosity coefficients vanish with the initial data belonging to Hs. Moreover, the Hs
convergence rate is given if we allow more regularity on the initial data. |
| format | Article |
| id | doaj-art-b9ff3fd5b42c46e3ae24c8a91dee462c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9ff3fd5b42c46e3ae24c8a91dee462c2025-02-03T05:59:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/240387240387The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq SystemJunlei Zhu0College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaThe inviscid limit problem for the smooth solutions of the Boussinesq system is studied in this paper. We prove the Hs convergence result of this system as the diffusion and the viscosity coefficients vanish with the initial data belonging to Hs. Moreover, the Hs convergence rate is given if we allow more regularity on the initial data.http://dx.doi.org/10.1155/2013/240387 |
| spellingShingle | Junlei Zhu The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System Abstract and Applied Analysis |
| title | The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System |
| title_full | The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System |
| title_fullStr | The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System |
| title_full_unstemmed | The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System |
| title_short | The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System |
| title_sort | inviscid limit behavior for smooth solutions of the boussinesq system |
| url | http://dx.doi.org/10.1155/2013/240387 |
| work_keys_str_mv | AT junleizhu theinviscidlimitbehaviorforsmoothsolutionsoftheboussinesqsystem AT junleizhu inviscidlimitbehaviorforsmoothsolutionsoftheboussinesqsystem |