ScienceAsia 44 (2018): 18-26 |doi:
The long-time dynamics of 3D non-autonomous Navier-Stokes equations with variable viscosity
Yongqiang Chen, Xin-guang Yang*, Mengmeng Si
ABSTRACT: This paper is concerned with the long-time dynamics of some 3D generalized non-autonomous Navier-Stokes equations in a bounded domain governing the motion of fluid flow which comes from a monograph by Ladyzhenskaya. Under some assumptions on the external force and initial data, we prove the existence and structure of uniform attractors for the continuous process.
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|Department of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, China
* Corresponding author, E-mail: email@example.com
Received 11 Jun 2017, Accepted 15 Oct 2017