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
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Received 11 Jun 2017, Accepted 15 Oct 2017