A remark on regularity criterion for the dissipative quasi-geostrophic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:329

Article

Dong, Bo-Qing ; Chen, Zhi-Min

关键词: quasi-geostrophic equations;    regularity criterion;    logarithmic Sobolev inequalities;   

DOI  :  10.1016/j.jmaa.2006.07.054

来源: Elsevier

【 摘 要 】

This paper concerns with a regularity criterion of solutions to the 2D dissipative quasi-geostrophic equations. Based on a logarithmic Sobolev inequality in Besov spaces, the absence of singularities of theta in [0, T] is derived for theta a solution on the interval [0, T) satisfying the condition del(perpendicular to)theta epsilon epsilon L-r (0, T; B-p(0), infinity) for 2/p + alpha/r = alpha, 4/alpha < p

【 授权许可】

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