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

被引：2
|
作者：
Cao, Zhengzi [1 ,2 ]
Yin, Huicheng [3 ]
Zhang, Lin [1 ,2 ]
Zhu, Lu [4 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
[2] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China
[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[4] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 04期
关键词：
Large time behavior; profile system; energy method; partial space-periodic domain; Fourier series; CONVERGENCE-RATES; MOTION;
D O I：
10.1016/S0252-9602(16)30061-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：1167 / 1191
页数：25
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