Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation

Yan Jia, Xingguo Gui and Bo-Qing Dong

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:620320

DOI: 10.1155/2013/620320

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