Pullback attractors for a class of extremal solutions of the 3D Navier-Stokes system
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Publication:711025
DOI10.1016/j.jmaa.2010.07.040zbMath1206.35048OpenAlexW4232412043MaRDI QIDQ711025
Oleksiy V. Kapustyan, Valero, José, Pavlo O. Kasyanov
Publication date: 25 October 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.040
Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)
Related Items (23)
Pullback attractors of 2D Navier-Stokes equations with weak damping and continuous delay ⋮ Structure of the pullback attractor for a non-autonomous scalar differential inclusion ⋮ Pullback attractors of 2D Navier-Stokes equations with weak damping, distributed delay, and continuous delay ⋮ Remarks on uniform attractors for the 3D non-autonomous Navier-Stokes-Voight equations ⋮ Invariance and stability of global attractors for multi-valued impulsive dynamical systems ⋮ Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations ⋮ Dimension estimate for the global attractor of an evolution equation ⋮ Uniform trajectory attractor for non-autonomous reaction-diffusion equations with Carathéodory's nonlinearity ⋮ Uniform Global Attractors for Nonautonomous Evolution Inclusions ⋮ Characterization of Pullback Attractors for Multivalued Nonautonomous Dynamical Systems ⋮ Global Attractors for Discontinuous Dynamical Systems with Multi-valued Impulsive Perturbations ⋮ Attractors for a double time-delayed 2D-Navier-Stokes model ⋮ Attractors of multivalued semi-flows generated by solutions of optimal control problems ⋮ Regularity of weak solutions and their attractors for a parabolic feedback control problem ⋮ Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term ⋮ Global attractors of impulsive parabolic inclusions ⋮ Uniform global attractors for non-autonomous dissipative dynamical systems ⋮ Attractors for Multivalued Processes with Weak Continuity Properties ⋮ Uniform Trajectory Attractors for Nonautonomous Dissipative Dynamical Systems ⋮ Existence and Invariance of Global Attractors for Impulsive Parabolic System Without Uniqueness ⋮ Upper semicontinuous property of uniform attractors for the 2D nonautonomous Navier-Stokes equations with damping ⋮ Global attractor for a partly dissipative reaction-diffusion system with discontinuous nonlinearity ⋮ Minimality Properties of Set-Valued Processes and their Pullback Attractors
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