Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
Peter Constantin
Department of Mathematics, University of Chicago, 5734 S. University Avenue Chicago, IL 60637, USAJiahong Wu
Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
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Abstract
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical () dissipation : If a Leray–Hopf weak solution is Hölder continuous with on the time interval , then it is actually a classical solution on .
Cite this article
Peter Constantin, Jiahong Wu, Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), no. 6, pp. 1103–1110
DOI 10.1016/J.ANIHPC.2007.10.001