LARGE TIME BEHAVIOR OF A THIRD GRADE FLUID SYSTEM

We consider the large time behavior of a non-autonomous third grade fluid sys- tem, which could be viewed as a perturbation of the classical Navier-Stokes system. Under proper assumptions, we firstly prove that the family of processes generated by the problem ad- mits a uniform attractor in the natu...

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Bibliographic Details
Published inActa mathematica scientia Vol. 36; no. 6; pp. 1590 - 1608
Main Author 柴晓娟 陈正争 钮维生
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2016
School of Mathematical Sciences, Anhui University, Hefei 230601, China
Subjects
37L30
76D05
kes系统
Sto
third grade fluid equations
uniform attractor
upper-semicontinuity
一致吸引子
上半连续性
大时间行为
子过程
流体系统
非自治
third grade fluid equations
76D05
uniform attractor
upper-semicontinuity
37L30
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(16)30092-3

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Summary:We consider the large time behavior of a non-autonomous third grade fluid sys- tem, which could be viewed as a perturbation of the classical Navier-Stokes system. Under proper assumptions, we firstly prove that the family of processes generated by the problem ad- mits a uniform attractor in the natural phase space. Then we prove the upper-semicontinuity of the uniform attractor when the perturbation tends to zero.
Bibliography:We consider the large time behavior of a non-autonomous third grade fluid sys- tem, which could be viewed as a perturbation of the classical Navier-Stokes system. Under proper assumptions, we firstly prove that the family of processes generated by the problem ad- mits a uniform attractor in the natural phase space. Then we prove the upper-semicontinuity of the uniform attractor when the perturbation tends to zero.
42-1227/O
third grade fluid equations; uniform attractor; upper-semicontinuity
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30092-3