Attractors for a nonlinear parabolic problem with terms concentrating on the boundary

DOI10.1007/s10884-014-9412-zzbMath1335.35150arXiv1204.0117OpenAlexW2050735328MaRDI QIDQ487942

Gleiciane S. Aragão, Marcone Corrêa Pereira, Antonio Luiz Pereira

Publication date: 23 January 2015

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

Full work available at URL: https://arxiv.org/abs/1204.0117

zbMATH Keywords

singular perturbationsemigroupparabolic equationattractorasymptotic behavior of solutionsoscillating thin boundary layersemicontinuity property of attractors

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (15)

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary ⋮ Concentrated terms and varying domains in elliptic equations: Lipschitz case ⋮ PDE problems with concentrating terms near the boundary ⋮ Concentrated reaction terms on the boundary of rough domains for a quasilinear equation ⋮ On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption ⋮ A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary ⋮ Gromov-Hausdorff stability of global attractors for the 3D Navier-Stokes equations with damping ⋮ Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Lower semicontinuity of the pullback attractors of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain ⋮ Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary conditions under perturbations of the domain ⋮ Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation ⋮ Dynamics of thermoelastic plate system with terms concentrated in the boundary

Cites Work

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• Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation
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• Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain
• A nonlinear elliptic problem with terms concentrating in the boundary
• Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
• RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION
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