Stability Analysis of the Supercritical Surface Quasi‐Geostrophic Equation

Yan Jia, Xingguo Gui and Bo-Qing Dong

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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 θ(x, t) of the surface quasi‐geostrophic equation with the force f ∈ L2(0, T; H−α/2(ℝ2)) satisfies the growth condition in the critical BMO space ∇θ ∈ L1(0, ∞; BMO), it is proved that every perturbed weak solution θ̅(t) converges asymptotically to solution θ(t) of the original surface quasi‐geostrophic equation. The initial and external forcing perturbations are allowed to be large.

Date: 2013
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https://doi.org/10.1155/2013/620320

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:620320

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