Decay rate of unique global solution for a class of 2D tropical climate model

被引：8
|
作者：
Li, Hongmin [1 ]
Xiao, Yuelong [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期
基金：
中国国家自然科学基金;
关键词：
decay rate of solution; Fourier splitting; L-p estimates; Sobolev homogeneous spaces; tropical climate model; NAVIER-STOKES EQUATIONS; 3D PRIMITIVE EQUATIONS; LARGE-TIME BEHAVIOR; WELL-POSEDNESS; WEAK SOLUTIONS; MHD EQUATIONS; REGULARITY; EXISTENCE; BLOWUP; OCEAN;
D O I：
10.1002/mma.5529
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a time decay for unique global strong solution of a modified version of the tropical climate model originally derived by Frierson-Majda-Pauluis. We prove that ||(u,v,theta)||L2(R2)-> 0 as t ->infinity and obtain the decay rates with ts2||(u,v,theta)(t)||Hs -> 0 as t ->infinity, where s >= 0.
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页码：2533 / 2543
页数：11
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