Articles

EXISTENCE OF THE UNIFORM TRAJECTORY ATTRACTOR FOR A 3D INCOMPRESSIBLE NON-NEWTONIAN FLUID FLOW

  • Chengzhi WANG ,
  • Mingshu ZHANG ,
  • Caidi ZHAO
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  • 1. School of River and Ocean Engineering, Chongqing Jiaotong University, Chongqing 400074, China;
    2. Department of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, China

Received date: 2016-10-20

  Revised date: 2017-03-24

  Online published: 2018-02-25

Supported by

Supported by NSFC (51209242, 2011BAB09B01, 11271290) and by NSF of Zhejiang Province (LY17A010011).

Abstract

This paper studies the trajectory asymptotic behavior of a non-autonomous incompressible non-Newtonian fluid in 3D bounded domains. In appropriate topologies, the authors prove the existence of the uniform trajectory attractor for the translation semigroup acting on the united trajectory space.

Cite this article

Chengzhi WANG , Mingshu ZHANG , Caidi ZHAO . EXISTENCE OF THE UNIFORM TRAJECTORY ATTRACTOR FOR A 3D INCOMPRESSIBLE NON-NEWTONIAN FLUID FLOW[J]. Acta mathematica scientia, Series B, 2018 , 38(1) : 187 -202 . DOI: 10.1016/S0252-9602(17)30126-1

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