Global well-posedness for the 2D dissipative quasi-geostrophic equations in modulation spaces

被引：2

作者：

Zhao, Weiren ^{[1
]}

Chen, Jiecheng ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 12期

关键词：

global well-posedness; quasi-geostrophic equations; modulation spaces; commutator estimate; UNIMODULAR FOURIER MULTIPLIERS; MAXIMUM PRINCIPLE; BEHAVIOR;

D O I：

10.1002/mma.4301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of global weak solution of the two-dimensional dissipative quasi-geostrophic equations with small initial data in M-p,sigma(s) and local well-posedness with the large initial data in the same space. Our proof is based on constructing a commutator related to the problem, as well as its estimate. Copyright (C) 2017 John Wiley & Sons, Ltd.

引用

页码：4246 / 4258

页数：13

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