Long-time behavior of reaction-diffusion equations with dynamical boundary condition

DOI10.1016/j.na.2011.02.022zbMath1218.35042OpenAlexW2022574739MaRDI QIDQ544152

Lu Yang, Mei-Hua Yang

Publication date: 14 June 2011

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.2011.02.022

zbMATH Keywords

attractorsreaction-diffusion equationasymptotic regularitydynamical boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (14)

Exponential attractors for parabolic equations with dynamic boundary conditions ⋮ Pullback attractors for multivalued processes and application to nonautonomous problems with dynamic boundary conditions ⋮ Attractors for a class of delayed reaction-diffusion equations with dynamic boundary conditions ⋮ The slightly compressible Brinkman-Forcheimer equations and its incompressible approximation ⋮ On a class of degenerate parabolic equations with dynamic boundary conditions ⋮ Upper semicontinuity of pullback D$\mathcal {D}$‐attractors for nonlinear parabolic equation with nonstandard growth condition ⋮ Asymptotic behavior of solutions to reaction-diffusion equations with dynamic boundary conditions and irregular data ⋮ Unnamed Item ⋮ The regularity of pullback attractor for a non-autonomous \(p\)-Laplacian equation with dynamical boundary condition ⋮ An exterior parabolic differential inequality under semilinear dynamical boundary conditions ⋮ Pullback attractors for non-autonomous reaction-diffusion equations with dynamical boundary conditions ⋮ Regularity results and exponential growth for pullback attractors of a non-autonomous reaction-diffusion model with dynamical boundary conditions ⋮ Attractors for nonclassical diffusion equations with dynamic boundary conditions ⋮ Long-time behavior of stochastic reaction-diffusion equation with dynamical boundary condition

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