Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663338 | Acta Mathematica Scientia | 2016 | 19 Pages |
Abstract
We consider the large time behavior of a non-autonomous third grade fluid system, 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 admits 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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xiaojuan CHAI, Zhengzheng CHEN, Weisheng NIU,