Attractors and global averaging of non-autonomous reaction-diffusion equations in \({\mathbb R}^N\)

DOI10.12775/TMNA.2002.035zbMath1039.35021arXivmath/0205184MaRDI QIDQ1411243

Francesca Antoci, Martino Prizzi

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205184

zbMATH Keywords

almost-periodic functioncoefficients rapidly oscillating in timelimit averated problem

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Almost and pseudo-almost periodic solutions to PDEs (35B15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Existence of global attractors for two-dimensional Newton-Boussinesq equation ⋮ Random attractors for stochastic reaction-diffusion equations on unbounded domains ⋮ Averaging principle and hyperbolic evolution equations ⋮ Random attractors for the stochastic FitzHugh-Nagumo system on unbounded domains ⋮ Periodic solutions for nonresonant parabolic equations on \(\mathbb{R}^N\) with Kato-Rellich type potentials ⋮ Asymptotic behavior of a class of non-autonomous degenerate parabolic equations ⋮ Non-autonomous attractors for singularly perturbed parabolic equations on \(\mathbb R^n\) ⋮ Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations ⋮ Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel ⋮ Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains ⋮ Pullback attractors for the non-autonomous FitzHugh-Nagumo system on unbounded domains ⋮ Global attractors for the 3D viscous Cahn–Hillard equations in an unbounded domain ⋮ Pullback attractors for non-autonomous reaction-diffusion equations on \(\mathbb R^n\)

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