Nonlocal phase-field systems with general potentials

DOI10.3934/dcds.2013.33.5089zbMath1277.35065arXiv1110.5824OpenAlexW1999309367MaRDI QIDQ379638

Giulio Schimperna, Maurizio Grasselli

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5824

zbMATH Keywords

well-posednessphase-field modelsnonlocal operatorsseparation propertyfinite dimensional global attractorsmodel of Caginalp typeregular and singular potentialsuniform regularization properties

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stefan problems, phase changes, etc. (80A22) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations ⋮ Upper-semicontinuity of the global attractors for a class of nonlocal Cahn-Hilliard equations ⋮ Longtime behavior of nonlocal Cahn-Hilliard equations ⋮ Higher-Order Allen–Cahn Models with Logarithmic Nonlinear Terms ⋮ Non-local phase field revisited ⋮ Well-posedness and global attractors for a non-isothermal viscous relaxation of nonlocal Cahn-Hilliard equations

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