LARGE TIME BEHAVIOR OF A THIRD GRADE FLUID SYSTEM

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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Veröffentlicht in:Acta mathematica scientia 2016-11, Vol.36 (6), p.1590-1608
1. Verfasser: 柴晓娟 陈正争 钮维生
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30092-3