Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation
Regularity of Holder continuous solutions of the supercritical quasi-geostrophic equation
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DOI：
10.1016/j.anihpc.2007.10.001
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发表时间：
2008-11-01
影响因子：
1.9
通讯作者：
Wu, Jiahong
中科院分区：
文献类型：
--
作者：
Constantin, Peter;Wu, Jiahong
本文给出了具有超临界（α < 1/2）耗散（- δ）（α）的二维准地转方程弱解的正则性结果：如果一个Leray-Hopf弱解是Holder连续的θ是在时间区间[t(0)，t]上具有δ > 1 -2 α的C- δ (R-2)的元素，那么它实际上是（t(0), t）上的经典解。(C) 2007 Elsevier Masson SAS。版权所有。
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 Holder continuous theta is an element of C-delta (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). (C) 2007 Elsevier Masson SAS. All rights reserved.