Dynamics for 2D incompressible Navier–Stokes flow coupled with time-dependent Darcy flow

Abstract
In this paper, we use the method of evolutionary systems introduced by Cheskidov and Foias to describe the existence of global attractor for 2D incompressible Navier-Stokes flow coupled with time-dependent Darcy flow. Furthermore, stationary statistical solutions of this system are constructed from the global attractor. Published under an exclusive license by AIP Publishing.
Funding Information
  • National Natural Science Foundation of China (11522109, 11871169)