A remark on regularity criterion for the dissipative quasi-geostrophic equations |
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| Authors: | Bo-Qing Dong Zhi-Min Chen |
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| Affiliation: | a School of Mathematical Sciences, Nankai University, Tianjin 300071, PR China
b School of Engineering Sciences, Ship Science, University of Southampton, Southampton SO17 1BJ, UK |
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| Abstract: | 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 θ in [0,T] is derived for θ a solution on the interval [0,T) satisfying the condition |
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| Keywords: | Quasi-geostrophic equations Regularity criterion Logarithmic Sobolev inequalities |
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