Global solutions to a generalized Cahn-Hilliard equation with viscosity

zbMath1032.35075MaRDI QIDQ1413009

Wolfgang Dreyer, Giulio Schimperna, Elena Bonetti

Publication date: 10 November 2003

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

zbMATH Keywords

existence of solutionsasymptotic limitGalerkin approximationviscous Cahn-Hilliard equationno-flux boundary condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Transformations involving diffusion in solids (74N25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Free boundary problems for PDEs (35R35)

Related Items (12)

Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations ⋮ Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation ⋮ Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity ⋮ Passage to the limit over small parameters in the viscous Cahn-Hilliard equation ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ The viscous Cahn-Hilliard equation with periodic potentials and sources ⋮ Well-posedness and optimal control for a viscous Cahn-Hilliard-Oono system with dynamic boundary conditions ⋮ A sixth-order phase-field equation with degenerate mobility ⋮ The Cahn-Hilliard equation with logarithmic potentials ⋮ Global attractors for singular perturbations of the Cahn-Hilliard equations ⋮ Thermodynamics of Elastoplastic Porous Rocks at Large Strains Towards Earthquake Modeling ⋮ Weak solutions for a sixth-order phase-field equation with degenerate mobility

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