Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation | Zendy

Yan Jia | Zendy; Xingguo Gui | Zendy; BoQing Dong | Zendy

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Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation

Author(s) -

Yan Jia,

Xingguo Gui,

BoQing Dong

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/620320

Subject(s) - mathematics , supercritical fluid , path (computing) , matrix (chemical analysis) , stability (learning theory) , analytical chemistry (journal) , physics , chemistry , thermodynamics , chromatography , computer science , machine learning , programming language

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

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