LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

doi:10.1016/S0252-9602(16)30061-3

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (4): 1167-1191.doi: 10.1016/S0252-9602(16)30061-3

LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

曹政子¹, 尹会成², 张麟¹, 朱露³

1 Department of Mathematics and IMS, Nanjing University, Nanjing 210093, China;
2 School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China;
3 College of Science, Hohai University, Nanjing 210098, China

收稿日期:2015-07-29 修回日期:2016-01-25 出版日期:2016-08-25 发布日期:2016-08-25
通讯作者: Huicheng YIN,E-mail:huicheng@nju.edu.cn E-mail:huicheng@nju.edu.cn
作者简介:Zhengzi CAO,E-mail:caozhengzi@163.com;Lin ZHANG,E-mail:smtmobly@163.com;Lu ZHU,E-mail:zhul_1985@163.com
基金资助:
This project was supported by the NSFC (11571177) and the Priority Academic Program Development of Jiangsu Higher Education Institutions; Zhu Lu was also supported by the Fundamental Research Funds for the Central Universities (2014B14014).

LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

Zhengzi CAO¹, Huicheng YIN², Lin ZHANG¹, Lu ZHU³

1 Department of Mathematics and IMS, Nanjing University, Nanjing 210093, China;
2 School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China;
3 College of Science, Hohai University, Nanjing 210098, China

Received:2015-07-29 Revised:2016-01-25 Online:2016-08-25 Published:2016-08-25
Contact: Huicheng YIN,E-mail:huicheng@nju.edu.cn E-mail:huicheng@nju.edu.cn
Supported by:
This project was supported by the NSFC (11571177) and the Priority Academic Program Development of Jiangsu Higher Education Institutions; Zhu Lu was also supported by the Fundamental Research Funds for the Central Universities (2014B14014).

摘要/Abstract

摘要：

In this article, we study the large time behavior of the 3-D isentropic compressible Navier-Stokes equation in the partial space-periodic domains, and simultaneously show that the related profile systems can be described by like Navier-Stokes equations with suitable "pressure" functions in lower dimensions. Our proofs are based on the energy methods together with some delicate analysis on the corresponding linearized problems.

关键词: Large time behavior, profile system, energy method, partial space-periodic domain, Fourier series

Abstract:

Key words: Large time behavior, profile system, energy method, partial space-periodic domain, Fourier series

中图分类号:

35Q30

曹政子, 尹会成, 张麟, 朱露. LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS[J]. 数学物理学报(英文版), 2016, 36(4): 1167-1191.

Zhengzi CAO, Huicheng YIN, Lin ZHANG, Lu ZHU. LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS[J]. Acta mathematica scientia,Series B, 2016, 36(4): 1167-1191.

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LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS

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