Finite time singularities for a class of generalized surface quasi-geostrophic equations

被引：20
|
作者：
Dong, Hongjie [1 ]
Li, Dong [2 ]
机构：
[1] Brown Univ, Dept Appl Math, Providence, RI 02912 USA
[2] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 07期
关键词：
Mellin transform; finite-time singularities; quasi-geostrophic equations; global well-posedness;
D O I：
10.1090/S0002-9939-08-09328-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose and study a class of generalized surface quasi-geostrophic equations. We show that in the inviscid case certain radial solutions develop gradient blow-up in finite time. In the critical dissipative case, the equations are globally well-posed with arbitrary H-1 initial data.
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页码：2555 / 2563
页数：9
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