Acta mathematica scientia, Series B >
LARGE TIME ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN PARTIAL SPACE-PERIODIC DOMAINS
Received date: 2015-07-29
Revised date: 2016-01-25
Online published: 2016-08-25
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).
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.
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 . DOI: 10.1016/S0252-9602(16)30061-3
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