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.