On the asymptotic behavior of the Caginalp system with dynamic boundary conditions

DOI10.3934/cpaa.2009.8.689zbMath1171.35337OpenAlexW2041503996MaRDI QIDQ1006202

Ciprian G. Gal, Maurizio Grasselli

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.689

zbMATH Keywords

Laplace-Beltrami operatorglobal attractorsconvergence to equilibriumdynamic boundary conditionsexponential attractorsŁojasiewicz-Simon inequalityphase-field equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stefan problems, phase changes, etc. (80A22)

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