Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation
This paper is devoted to the study of the stability issue of the supercritical dissipative surface quasi-geostrophic equation with nondecay low-regular external force. Supposing that the weak solution of the surface quasi-geostrophic equation with the force satisfies the growth condition in the cr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/620320 |
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| _version_ | 1832560077730480128 |
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| author | Yan Jia Xingguo Gui Bo-Qing Dong |
| author_facet | Yan Jia Xingguo Gui Bo-Qing Dong |
| author_sort | Yan Jia |
| collection | DOAJ |
| description | This paper is devoted to the study of the stability issue of the supercritical dissipative surface quasi-geostrophic equation with nondecay low-regular external force. Supposing that the weak solution of the surface quasi-geostrophic equation with the force satisfies the growth condition in the critical BMO space , it is proved that every perturbed weak solution converges asymptotically to solution of the original surface quasi-geostrophic equation. The initial and external forcing perturbations are allowed to be large. |
| format | Article |
| id | doaj-art-f31eafd2e7b84b97b38dfda7b9460627 |
| 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-f31eafd2e7b84b97b38dfda7b94606272025-02-03T01:28:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/620320620320Stability Analysis of the Supercritical Surface Quasi-Geostrophic EquationYan Jia0Xingguo Gui1Bo-Qing Dong2School of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaThis paper is devoted to the study of the stability issue of the supercritical dissipative surface quasi-geostrophic equation with nondecay low-regular external force. Supposing that the weak solution of the surface quasi-geostrophic equation with the force satisfies the growth condition in the critical BMO space , it is proved that every perturbed weak solution converges asymptotically to solution of the original surface quasi-geostrophic equation. The initial and external forcing perturbations are allowed to be large.http://dx.doi.org/10.1155/2013/620320 |
| spellingShingle | Yan Jia Xingguo Gui Bo-Qing Dong Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation Abstract and Applied Analysis |
| title | Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation |
| title_full | Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation |
| title_fullStr | Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation |
| title_full_unstemmed | Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation |
| title_short | Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation |
| title_sort | stability analysis of the supercritical surface quasi geostrophic equation |
| url | http://dx.doi.org/10.1155/2013/620320 |
| work_keys_str_mv | AT yanjia stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation AT xingguogui stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation AT boqingdong stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation |