Mosaic solutions and entropy for discrete coupled phase-transition equations

DOI10.1016/S0167-2789(01)00244-5zbMath1002.35058OpenAlexW2052585052MaRDI QIDQ5947014

Erik S. Van Vleck, K. A. Abell

Publication date: 13 January 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00244-5

zbMATH Keywords

stabilityexistenceuniquenesscoupled spatially discrete Allen-Cahn and Cahn-Hilliard equationsdouble obstacle potential

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Partial functional-differential equations (35R10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (1)

Pattern formations and spatial entropy for spatially discrete diffusion equations

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Evolution equations for phase separation and ordering in binary alloys
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
• Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
• DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
• Mosaic solutions and entropy for spatially discrete Cahn-Hilliard equations
• Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System
• Free Energy of a Nonuniform System. I. Interfacial Free Energy

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