Pullback attractors for generalized evolutionary systems

DOI10.3934/dcdsb.2015.20.749zbMath1332.35263arXiv1310.4917OpenAlexW2963565545MaRDI QIDQ256792

Landon Kavlie, Alexey Cheskidov

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4917

zbMATH Keywords

Navier-Stokes equationsfluid mechanicsnonautonomous dynamical systemsgeneralized evolutionary systemspullback attractors

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Topological dynamics of nonautonomous systems (37B55)

Related Items (8)

Pullback attractor of a non-autonomous order-\(2 \gamma\) parabolic equation for an epitaxial thin film growth model ⋮ Pullback attractors for multivalued processes and application to nonautonomous problems with dynamic boundary conditions ⋮ Pullback trajectory attractor for nonautonomous wave equations ⋮ Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations ⋮ Degenerate pullback attractors for the 3D Navier-Stokes equations ⋮ Uniform attractors of stochastic three-component Gray-Scott system with multiplicative noise ⋮ On the determining wavenumber for the nonautonomous subcritical SQG equation ⋮ Minimality Properties of Set-Valued Processes and their Pullback Attractors

Cites Work

• Unnamed Item
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• Attractors for infinite-dimensional non-autonomous dynamical systems
• Uniform global attractors for the nonautonomous 3D Navier-Stokes equations
• Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force
• Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations
• On global attractors of the 3D Navier--Stokes equations
• The existence and the structure of uniform global attractors for nonautonomous reaction-diffusion systems without uniqueness
• Global attractors of evolutionary systems
• On attractors of multivalued semi-flows and differential inclusions
• Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force
• Attractors for random dynamical systems
• Nonautonomous systems, cocycle attractors and variable time-step discretization
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• A comparison between two theories for multi-valued semiflows and their asymptotic behaviour
• Trajectory and global attractors of the three-dimensional Navier-Stokes system.
• Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
• Attractors of non-autonomous dynamical systems and their dimension
• Global attractors for the three-dimensional Navier-Stokes equations
• Weak and strong attractors for the 3D Navier-Stokes system
• Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
• Dynamics of evolutionary equations

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