Decay of the solution to a reduced gravity two and a half layer equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:438

Article

Wei, Ruiying^1,2  Li, Yin^1,2  Yao, Zheng-an² 

[1] Shaoguan Univ, Sch Math & Stat, Shaoguan 512005, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

关键词: Reduced gravity model;    Decay rates;    Fourier splitting method;   

DOI  :  10.1016/j.jmaa.2016.01.081

来源: Elsevier

【 摘 要 】

In this paper, we study a reduced gravity two and a half layer model in threedimensional whole space R-3. Under assumption of small initial data, we establish the unique global solution by energy method, furthermore, we obtain the time decay rates of the higher-order spatial derivatives of the solution by the method of spectral analysis and energy estimates if the initial data belongs to L-1(R-3) additionally. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free