The vanishing viscosity method and a two-phase Stefan problem with nonlinear flux condition of Signorini type

DOI10.3792/pjaa.63.58zbMath0661.35086OpenAlexW2041113984MaRDI QIDQ1113024

Nobuyuki Kenmochi, Irena Pawłow

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.58

zbMATH Keywords

weak solutionvanishing viscosity methodfree boundarytwo-phase Stefan problemmaximal monotone graphuniqueenthalpy formulationLipschitz continuousnonlinear flux conditionSignorini type

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35)

Cites Work

• A generalized Stefan problem in several space variables
• Problèmes unilateraux
• On the quasi-linear heat equation with time-dependent obstacles
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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