Distance of attractors of reaction-diffusion equations in thin domains

DOI10.1016/j.jde.2017.06.023zbMath1401.35208arXiv1704.05352OpenAlexW2734698754MaRDI QIDQ1785927

José M. Arrieta, Esperanza Santamaría

Publication date: 2 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05352

zbMATH Keywords

attractorsthin domainshadowinginertial manifolds

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Inertial manifolds (35B42) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (11)

Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains ⋮ Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary ⋮ PDE problems with concentrating terms near the boundary ⋮ Asymptotic behavior of stochastic Fitzhugh-Nagumo systems on unbounded thin domains ⋮ Convergence rate for perturbations of Morse-Smale semiflow ⋮ Parabolic equations with localized large diffusion: rate of convergence of attractors ⋮ Dynamics of the non-autonomous stochastic p-Laplacian parabolic problems on unbounded thin domains ⋮ Structural stability and rate of convergence of global attractors ⋮ Dynamics of stochastic FitzHugh–Nagumo systems with additive noise on unbounded thin domains ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Limiting behavior of non-autonomous stochastic reaction-diffusion equations on unbounded thin domains

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