Regularity Criteria for the Dissipative Quasi-Geostrophic Equations in Holder Spaces

被引：29
作者：
Dong, Hongjie [1 ]
Pavlovic, Natasa [2 ]
机构：
[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA
[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 290卷 / 03期
基金：
美国国家科学基金会;
关键词：
GLOBAL WELL-POSEDNESS; MAXIMUM PRINCIPLE;
D O I：
10.1007/s00220-009-0756-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study regularity criteria for weak solutions of the dissipative quasi-geostrophic equation (with dissipation (- Delta)(gamma/2), 0 < gamma <= 1). We show in this paper that if theta is an element of C((0, T); C1-gamma), or theta is an element of L-r((0, T); C-alpha) with alpha = 1 - gamma + gamma/r is a weak solution of the 2D quasi-geostrophic equation, then theta is a classical solution in (0, T] x R-2. This result improves our previous result in [18].
引用
收藏
页码：801 / 812
页数：12
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