Abstract approach to evolution equations of phase-field type and applications

DOI10.1006/jdeq.1999.3753zbMath0978.35075OpenAlexW2052581076MaRDI QIDQ1581863

Giulio Schimperna

Publication date: 27 January 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3753

zbMATH Keywords

phase-field modelssubdifferential operatorsabstract evolution equationsheat transfer in anisotropic fluids with phase transitions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90)

Related Items

Phase-field systems with nonlinear coupling and dynamic boundary conditions ⋮ Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions ⋮ Singular limits for stochastic equations ⋮ Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems ⋮ A Cahn-Hilliard model in a domain with non-permeable walls ⋮ Optimal control for a phase field system with a possibly singular potential ⋮ A finite element method for Allen-Cahn equation on deforming surface ⋮ Asymptotic behavior of a nonisothermal Ginzburg-Landau model ⋮ Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions ⋮ Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness ⋮ Some convergence results for a class of nonlinear phase-field evolution equations.

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