EXISTENCE OF PULLBACK ATTRACTOR FOR A REACTION–DIFFUSION EQUATION IN SOME UNBOUNDED DOMAINS WITH NON-AUTONOMOUS FORCING TERM IN H-1

DOI10.1142/S021812741002726XzbMath1202.35034OpenAlexW2043022473WikidataQ58377530 ScholiaQ58377530MaRDI QIDQ3065776

José Real, María Anguiano, Tomás Caraballo Garrido

Publication date: 6 January 2011

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741002726x

zbMATH Keywords

asymptotic compactnesspullback attractorevolution processnon-autonomous reaction-diffusion equation

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57)

Related Items (8)

Pullback Attractors for a Reaction–Diffusion Equation in a General Nonempty Open Subset of ℝN with Nonautonomous Forcing Term in H−1 ⋮ Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness ⋮ An iterative method for non-autonomous nonlocal reaction-diffusion equations ⋮ Reaction-diffusion equations with non-autonomous force in \(H^{-1}\) and delays under measurability conditions on the driving delay term ⋮ Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\) ⋮ Invariant measures for dissipative systems and generalised Banach limits ⋮ Asymptotic behaviour of nonlocal reaction-diffusion equations ⋮ Higher-order integrability for a semilinear reaction-diffusion equation with distribution derivatives in \(\mathbb R^N\)

Cites Work

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• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• The dimension of attractors of nonautonomous partial differential equations
• Flattening, squeezing and the existence of random attractors

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