Acta mathematica scientia, Series B >
LARGE TIME BEHAVIOR OF A THIRD GRADE FLUID SYSTEM
Received date: 2015-08-08
Revised date: 2016-05-02
Online published: 2016-12-25
Supported by
Supported by NSFC (11301003, 11426031, 11501560), the Research Fund for Doctor Station of the Education Ministry of China (20123401120005), NSF of Anhui Province (1308085QA02).
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.
Xiaojuan CHAI , Zhengzheng CHEN , Weisheng NIU . LARGE TIME BEHAVIOR OF A THIRD GRADE FLUID SYSTEM[J]. Acta mathematica scientia, Series B, 2016 , 36(6) : 1590 -1608 . DOI: 10.1016/S0252-9602(16)30092-3
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