The Stefan Problem With Heating: Appearance and Disappearance of a Mushy Region

DOI10.2307/2000031zbMath0604.35081OpenAlexW2072939381MaRDI QIDQ3742036

Piero De Mottoni, Lambertus A. Peletier, Michiel Bertsch

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000031

zbMATH Keywords

sub- and supersolutionsphase change problemmushy region

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)

Related Items (4)

Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations ⋮ The Stefan problem with mushy regions: Differentiability of the interfaces ⋮ A Stefan problem on an evolving surface ⋮ Two-phase Stefan problems for parabolic-elliptic equations

Cites Work

• Unnamed Item
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Degenerate diffusion and the Stefan problem
• A Melting Problem with a Mushy Region: Qualitative Properties
• Hölder Continuity of Solutions of Parabolic Equations
• One Dimensional Stefan Problems with Nonmonotone Free Boundary

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