Invariant measures for the 3D globally modified Navier-Stokes equations with unbounded variable delays

摘要

This article investigates the three-dimensional globally modified Navier-Stokes equations with unbounded variable delays. Firstly, we prove the global well-posedness of the solutions, and give the existence of the pullback attractor for the associated process. Then, we construct a family of invariant Borel probability measures, which is supported by the pullback attractor. (C) 2020 Elsevier B.V. All rights reserved.