Non-local Cahn–Hilliard equations with fractional dynamic boundary conditions

DOI10.1017/S0956792516000504zbMath1382.82035OpenAlexW2557652494MaRDI QIDQ4600762

Ciprian G. Gal

Publication date: 12 January 2018

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792516000504

zbMATH Keywords

regularitywell-posednessglobal attractorregional fractional Laplaciannon-local Cahn-Hilliard equationfractional dynamic boundary conditionsfractional Wentzell Laplacian

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) PDEs in connection with mechanics of deformable solids (35Q74) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24) Fractional partial differential equations (35R11)

Related Items (9)

On the nonlocal Cahn-Hilliard equation with nonlocal dynamic boundary condition and boundary penalization ⋮ The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases ⋮ Optimal distributed control of a generalized fractional Cahn-Hilliard system ⋮ Cahn-Hilliard equations governed by weakly nonlocal conservation laws and weakly nonlocal particle interactions ⋮ A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions ⋮ On the strong-to-strong interaction case for doubly nonlocal Cahn-Hilliard equations ⋮ Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials ⋮ An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators ⋮ Well-posedness and regularity for a generalized fractional Cahn-Hilliard system

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