Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces
This study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov...
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| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/6754780 |
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| author | Min Fu Chao Cai |
| author_facet | Min Fu Chao Cai |
| author_sort | Min Fu |
| collection | DOAJ |
| description | This study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, π(x,t)∈L2/(2+r)(0,T;B˙∞,∞r) for r=±1, then the smooth solution can be continually extended to the interval (0,T⁎) for some T⁎>T. The findings extend largely the previous results. |
| format | Article |
| id | doaj-art-5db1b5d802a5451caeb207110cd40894 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5db1b5d802a5451caeb207110cd408942025-08-20T03:34:44ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/67547806754780Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov SpacesMin Fu0Chao Cai1State Key Laboratory for Multispectral Information Processing Technologies, School of Automation, Huazhong University of Science and Technology, Wuhan, ChinaState Key Laboratory for Multispectral Information Processing Technologies, School of Automation, Huazhong University of Science and Technology, Wuhan, ChinaThis study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, π(x,t)∈L2/(2+r)(0,T;B˙∞,∞r) for r=±1, then the smooth solution can be continually extended to the interval (0,T⁎) for some T⁎>T. The findings extend largely the previous results.http://dx.doi.org/10.1155/2017/6754780 |
| spellingShingle | Min Fu Chao Cai Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces Advances in Mathematical Physics |
| title | Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces |
| title_full | Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces |
| title_fullStr | Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces |
| title_full_unstemmed | Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces |
| title_short | Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces |
| title_sort | remarks on pressure blow up criterion of the 3d zero diffusion boussinesq equations in margin besov spaces |
| url | http://dx.doi.org/10.1155/2017/6754780 |
| work_keys_str_mv | AT minfu remarksonpressureblowupcriterionofthe3dzerodiffusionboussinesqequationsinmarginbesovspaces AT chaocai remarksonpressureblowupcriterionofthe3dzerodiffusionboussinesqequationsinmarginbesovspaces |