Article ID Journal Published Year Pages File Type
4663338 Acta Mathematica Scientia 2016 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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