Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation

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...

Full description

Bibliographic Details
Main Authors: Yan Jia, Xingguo Gui, Bo-Qing Dong
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/620320
id doaj-f31eafd2e7b84b97b38dfda7b9460627
record_format Article
spelling doaj-f31eafd2e7b84b97b38dfda7b94606272020-11-24T22:14:47ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Yan Jia
Xingguo Gui
Bo-Qing Dong
spellingShingle Yan Jia
Xingguo Gui
Bo-Qing Dong
Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation
Abstract and Applied Analysis
author_facet Yan Jia
Xingguo Gui
Bo-Qing Dong
author_sort Yan Jia
title Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation
title_short 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_sort stability analysis of the supercritical surface quasi-geostrophic equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/620320
work_keys_str_mv AT yanjia stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation
AT xingguogui stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation
AT boqingdong stabilityanalysisofthesupercriticalsurfacequasigeostrophicequation
_version_ 1725797112392712192

Similar Items