Multi-dimensional stefan problems with dynamic boundary conditions

DOI10.1080/00036819508840311zbMath0833.35153OpenAlexW2048970641WikidataQ58302153 ScholiaQ58302153MaRDI QIDQ4854506

Toyohiko Aiki

Publication date: 14 November 1995

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840311

zbMATH Keywords

subdifferentialsdynamic boundary conditionsnonlinear degenerate parabolic equations

Mathematics Subject Classification ID

Variational inequalities (49J40) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Existence theories for free problems in two or more independent variables (49J10) Free boundary problems for PDEs (35R35)

Related Items (9)

Phragmén-Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition ⋮ Parabolic variational inequality with parameter and gradient constraints ⋮ Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials ⋮ Nonlinear diffusion equations with Robin boundary conditions as asymptotic limits of Cahn-Hilliard systems ⋮ On boundary detachment phenomena for the total variation flow with dynamic boundary conditions ⋮ An exterior parabolic differential inequality under semilinear dynamical boundary conditions ⋮ The Allen-Cahn equation with dynamic boundary conditions and mass constraints ⋮ Convergence of Cahn–Hilliard systems to the Stefan problem with dynamic boundary conditions ⋮ Cahn-Hilliard equation with dynamic boundary conditions and mass constraint on the boundary

Cites Work

• A generalized Stefan problem in several space variables

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