The global well-posedness of the modified quasi-geostrophic equation in frequency spaces

被引：2
|
作者：
Ru, Shaolei [1 ]
Chen, Jiecheng [2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310003, Zhejiang, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 43卷
关键词：
Modified quasi-geostrophic equations; Global well-posedness;
D O I：
10.1016/j.aml.2014.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the solution, theta(x, t), of the modified quasi-geostrophic equations exists globally (i.e., theta(x, t) is an element of L infinity(R+; FL1r,0 boolean AND L-1(R+; FL1r,alpha)), if the initial data parallel to theta(0)(x)parallel to(FL1r,0) < k/2(r+alpha+3). (C) 2014 Elsevier Ltd. All rights reserved.
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页码：1 / 4
页数：4
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