REGULARITY CRITERIA OF SUPERCRITICAL BETA-GENERALIZED QUASI-GEOSTROPHIC EQUATIONS IN TERMS OF PARTIAL DERIVATIVES

被引：0
|
作者：
Yamazaki, Kazuo [1 ]
机构：
[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年
关键词：
Quasi-geostrophic equation; porous media equation; regularity criteria; GLOBAL WELL-POSEDNESS; INCOMPRESSIBLE-FLOW; MAXIMUM PRINCIPLE; POROUS-MEDIA; DIRECTION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the two-dimensional beta-generalized supercritical quasi-geostrophic equation, and in particular show that to obtain global regularity results, one needs to bound only its partial derivative. Results may be generalized to similar active scalars, e.g. the porous media equation.
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页数：12
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