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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Published in | Acta mathematica scientia Vol. 36; no. 6; pp. 1590 - 1608 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
01.11.2016
School of Mathematical Sciences, Anhui University, Hefei 230601, China |
Subjects | |
Online Access | Get full text |
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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. |
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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 |