Global well-posedness and blow-up criterion for the periodic quasi-geostrophic equations in Lei-Lin-Gevrey spaces

被引：3

作者：

Benhamed, Moez ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, LR03ES04, Tunis 2092, Tunisia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 18期

关键词：

Blow-up result; Global existence; Lei-Lin-Gevrey spaces; subcritical case; surface quasi-geostrophic equations; ASYMPTOTIC-BEHAVIOR; FLOWS;

D O I：

10.1002/mma.4543

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a periodic 2-dimensional quasi-geostrophic equations with subcritical dissipation. We show the global existence and uniqueness of the solution theta is an element of C ([0, T], gamma(1-2 alpha)(a,sigma)(T-2)) for small initial data in the Lei-Lin-Gevrey spaces. gamma(1-2 alpha)(a,sigma)(T-2). Moreover, we establish an exponential type explosion in finite time of this solution.

引用

页码：7488 / 7509

页数：22

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