Trajectory and global attractors for evolution equations with memory

DOI10.1016/j.aml.2005.03.007zbMath1082.35035OpenAlexW2101361789MaRDI QIDQ812751

Vittorino Pata, Alain Miranville, Vladimir V. Chepyzhov, Stefania Gatti, Maurizio Grasselli

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.03.007

zbMATH Keywords

abstract evolution equationpast history approach

Mathematics Subject Classification ID

Attractors (35B41) Integro-partial differential equations (45K05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

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Long-time stabilization of solutions to a nonautonomous semilinear viscoelastic equation ⋮ Asymptotic behavior for the semilinear reaction-diffusion equations with memory ⋮ On the dynamics of equations with infinite delay ⋮ Convergence to equilibrium of solutions to a nonautonomous semilinear viscoelastic equation with finite or infinite memory ⋮ Dynamical behavior of a degenerate parabolic equation with memory on the whole space ⋮ Averaging of a 3D Navier-Stokes-Voight equation with singularly oscillating forces ⋮ Unnamed Item ⋮ Attractors for Navier-Stokes equation with fractional operator in the memory term ⋮ Pullback attractors of reaction-diffusion inclusions with space-dependent delay ⋮ Invariant measures for dissipative dynamical systems: abstract results and applications ⋮ Global attractor for a non-autonomous integro-differential equation in materials with memory ⋮ Exponential attractors for abstract parabolic systems with bounded delay ⋮ RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES ⋮ Upper semicontinuity of trajectory attractors for 3D incompressible Navier-Stokes equation ⋮ PULLBACK ATTRACTORS FOR A NONAUTONOMOUS INTEGRO-DIFFERENTIAL EQUATION WITH MEMORY IN SOME UNBOUNDED DOMAINS

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• PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS
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