Exponential attractors for nonautonomous first-order evolution equations

DOI10.3934/dcds.1998.4.225zbMath0980.34051OpenAlexW2008346557MaRDI QIDQ1576773

Alain Miranville, Pierre Fabrie

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.3934/dcds.1998.4.225

zbMATH Keywords

Navier-Stokes equationsuniform attractorexponential attractornonautonomous system

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear parabolic equations (35K55) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) Attractors of solutions to ordinary differential equations (34D45)

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Exponential attractors for nonautonomous evolution equations ⋮ Pullback dynamic behavior for a non-autonomous incompressible non-Newtonian fluid ⋮ Attractors for general operators. ⋮ Trajectory attractors for binary fluid mixtures in 3D ⋮ Pullback dynamics of Lamé systems with time-dependent weak damping ⋮ Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations ⋮ Uniform exponential attractors for first order non-autonomous lattice dynamical systems ⋮ Exponential attractors for random dynamical systems and applications ⋮ Uniform exponential attractors for non-autonomous Klein-Gordon-Schrödinger lattice systems in weighted spaces ⋮ Exponential attractors for non-autonomous dissipative system ⋮ Pullback exponential attractors for non-autonomous lattice systems ⋮ Long-time behavior of some models of Cahn-Hilliard equations in deformable continua ⋮ Asymptotic Dynamics of Second Order Nonautonomous Systems on Infinite Lattices ⋮ Asymptotic behavior of a nonisothermal Ginzburg-Landau model ⋮ Uniform exponential attractor for nonautonomous partly dissipative lattice dynamical system ⋮ Exponential attractors for nonautonomous first-order evolution equations ⋮ Some models of Cahn-Hilliard equations in nonisotropic media ⋮ Finite-dimensional attractors for a general class of nonautonomous wave equations

Cites Work

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• Inertial manifolds for nonlinear evolutionary equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Exponential attractors for the slightly compressible \(2\)D-Navier-Stokes
• Exponential attractors for nonautonomous first-order evolution equations
• Exponential attractors for nonautonomous partially dissipative equations
• Attractors of non-autonomous dynamical systems and their dimension
• Exponential attractors of reaction-diffusion systems in an unbounded domain

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