Long time behavior of the Caginalp system with singular potentials and dynamic boundary conditions

DOI10.3934/cpaa.2012.11.2261zbMath1267.35032OpenAlexW2332204666MaRDI QIDQ1951377

Stefania Gatti, Laurence Cherfils, Alain Miranville

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.2261

zbMATH Keywords

global attractorphase-field modelexponential attractorfinite fractal dimensionvariational solutionsdissipative estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Nonlinear elliptic equations (35J60)

Related Items (8)

Analysis of an iterative scheme of fractional steps type associated to the nonlinear phase-field equation with non-homogeneous dynamic boundary conditions ⋮ A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls ⋮ Stability and errors analysis of two iterative schemes of fractional steps type associated to a nonlinear reaction-diffusion equation ⋮ Kobayashi-Warren-Carter system of singular type under dynamic boundary condition ⋮ A doubly splitting scheme for the Caginalp system with singular potentials and dynamic boundary conditions ⋮ Time discretization of a nonlinear phase field system in general domains ⋮ Convergence to equilibrium for time and space discretizations of the Cahn-Hilliard equation ⋮ ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS

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