Examples of attractors in scalar reaction-diffusion equations

DOI10.1016/0022-0396(88)90124-6zbMath0652.35061OpenAlexW2096637408WikidataQ60143403 ScholiaQ60143403MaRDI QIDQ1107030

Carlos Rocha

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90124-6

zbMATH Keywords

Neumann boundary conditionsattractorreaction-diffusioncubic nonlinearitiesheteroclinic connectionsnumber of equilibriaphase- energy techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (16)

Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity ⋮ Stability in a semilinear boundary value problem via invariant conefields ⋮ Sturm attractors for quasilinear parabolic equations ⋮ Structure of Uniform Global Attractor for General Non-Autonomous Reaction-Diffusion System ⋮ DYNAMICS OF A REACTION–DIFFUSION EQUATION WITH A DISCONTINUOUS NONLINEARITY ⋮ Sturm attractors for fully nonlinear parabolic equations ⋮ On L^r -regularity of global attractors generated by strong solutions of reaction-diffusion equations ⋮ Boundary layers in a semilinear parabolic problem ⋮ Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term ⋮ Stability of stationary solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions ⋮ Properties of the attractor of a scalar parabolic PDE ⋮ A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE ⋮ Sturm attractors for quasilinear parabolic equations with singular coefficients ⋮ The first exit problem of reaction-diffusion equations for small multiplicative L\'evy noise ⋮ SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS ⋮ Stability characteristics of transition layer solutions

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