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Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators

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  • We 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. We use then the theory of multi-valued dynamical system to establish the existence of attractors for our problem in several senses and establish relations among them.
    Mathematics Subject Classification: Primary: 35B40; 35Q30; 37L30.


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