Existence and uniqueness of solutions, and pullback attractor for a system of globally modified 3D-Navier-Stokes equations with finite delay. (English) Zbl 1244.35017
Summary: We first study the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier-Stokes equations with finite delay in the locally Lipschitz case. The asymptotic behaviour of solutions and the existence of the pullback attractor are also analyzed.
MSC:
| 35B41 | Attractors |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 37L30 | Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
