Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation

DOI10.3934/eect.2015.4.39zbMath1433.35190OpenAlexW2320901632MaRDI QIDQ261329

Thanh Nam Nguyen, Samira Boussaïd, Danielle Hilhorst

Publication date: 23 March 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2015.4.39

zbMATH Keywords

gradient flowŁojasiewicz inequalityinfinite dimensional dynamical systemsmass-conserved Allen-Cahn equationstabilization of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Integro-partial differential equations (35R09)

Related Items (6)

On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation ⋮ A quasilinear parabolic problem with a source term and a nonlocal absorption ⋮ Asymptotic behavior of equilibrium states of reaction-diffusion systems with mass conservation ⋮ Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral ⋮ Generation of Interface for Solutions of the Mass Conserved Allen--Cahn Equation ⋮ A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion

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