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.

引用

页码：2555 / 2563

页数：9

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