Continuity of attractors for parabolic problems with localized large diffusion

DOI10.1016/j.na.2006.11.017zbMath1143.35011OpenAlexW2026262568MaRDI QIDQ2464534

Karina Schiabel-Silva, Vera Lúcia Carbone, Alexandre Nolasco De Carvalho

Publication date: 21 December 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.11.017

zbMATH Keywords

attractorsparabolic problemsupper and lower semicontinuitylocalized large diffusion

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Inertial manifolds (35B42)

Related Items (12)

Rate of convergence of attractors for singularly perturbed semilinear problems ⋮ Convergence of nonautonomous multivalued problems with large diffusion to ordinary differential inclusions ⋮ Interaction of localized large diffusion and boundary conditions ⋮ Parabolic equations with localized large diffusion: rate of convergence of attractors ⋮ Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and \(\mathcal{C}^1\) variation of the domain ⋮ Fractional approximations of abstract semilinear parabolic problems ⋮ A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN ⋮ Continuity of dynamical structures for nonautonomous evolution equations under singular perturbations ⋮ Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions ⋮ Dynamical behaviour of non-autonomous 2D Navier–Stokes equations with singularly oscillating external force ⋮ On the continuity of pullback attractors for evolution processes ⋮ Lower semicontinuity of attractors for non-autonomous dynamical systems

Cites Work

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• Parabolic problems with nonlinear boundary conditions and critical nonlinearities
• Transversality of stable and unstable manifolds for parabolic problems arising in composite materials
• Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• Localized Spatial Homogenization and Large Diffusion
• Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds

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