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Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation

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  • Yan Jia
  • Xingguo Gui
  • Bo-Qing Dong

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.

Suggested Citation

  • Yan Jia & Xingguo Gui & Bo-Qing Dong, 2013. "Stability Analysis of the Supercritical Surface Quasi-Geostrophic Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
    • Handle: RePEc:hin:jnlaaa:620320
    DOI: 10.1155/2013/620320
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