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      Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation

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          Abstract

          We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (\(\alpha< 1/2\)) dissipation \((-\Delta)^\alpha\) : If a Leray-Hopf weak solution is H\"{o}lder continuous \(\theta\in C^\delta({\mathbb R}^2)\) with \(\delta>1-2\alpha\) on the time interval \([t_0, t]\), then it is actually a classical solution on \((t_0,t]\).

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          Author and article information

          Journal
          21 January 2007
          Article
          10.1016/j.anihpc.2007.10.001
          math/0701592
          Custom metadata
          76D03, 35Q35
          math.AP

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