Commutator estimate and its application to regularity criteria of the dissipative quasi-geostrophic equation

被引：0

作者：

Chen, Jianwen ^{[1
]}

Chen, Zhi-Min ^{[2
]}

Dong, Bo-Qing ^{[2
]}

机构：

[1] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

[2] Shenzhen Univ, Sch Math & Stat, Shenzhen 518052, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 329卷

关键词：

Commutator estimate; Supercritical dissipative quasi-geostrophic equation; Regularity criterion; Existence of global regular solutions; NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; WEAK SOLUTIONS; ASYMPTOTIC-BEHAVIOR; BESOV-SPACES; EXISTENCE; UNIQUENESS; FLOWS;

D O I：

10.1016/j.amc.2018.01.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new commutator estimate with respect to a nonlinear convection upper bounded by a single partial derivative component in Hilbert spaces is obtained. As an application, regularity criteria on the supercritical quasi-geostrophic equation are obtained provided that solution growth conditions are assumed to involve a single partial derivative component. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：84 / 91

页数：8

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