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Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators. (English) Zbl 1187.35018
The authors obtain a result of existence of solutions to the 2D-Navier-Stokes model with delays, when the forcing term containing the delay is sub-linear and only continuous. As a consequence of the continuity assumption the uniqueness of solutions does not hold in general. Then by using the theory of multi-valued dynamical system the authors establish the existence of attractors for the envisaged problem in several senses and establish relations among them.
MSC:
35B41Attractors (PDE)
35B40Asymptotic behavior of solutions of PDE
35Q30Stokes and Navier-Stokes equations
37L30Attractors and their dimensions, Lyapunov exponents