Attractors for 2D-Navier–Stokes equations with delays on some unbounded domains

By Pedro Marín-Rubio, José Real. 2007

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Abstract We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier–Stokes equations on unbounded domains satisfying Poincare inequality, for the case in which a forcing term involving memory effects appears. Our proof uses an energy method and is valid for the autonomous and nonautonomous cases.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/adfd3542878a147a56f3d4235ed93ebc1dc21cb5