Two-phase Stefan problem as the limit case of two-phase Stefan problem with kinetic condition

DOI10.1006/JDEQ.2001.4120zbMath1034.35162OpenAlexW1964893798MaRDI QIDQ697865

Yuqing Liu, Fa-huai Yi

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4120

zbMATH Keywords

asymptotic behaviourphase changefree boundary problemsStefan problem with kinetic undercooling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (1)

Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions

Cites Work

• Classical solutions of the Stefan problem
• Stefan problem with a kinetic condition at the free boundary
• On the global solutions to two-phase nonequilibrium problems
• ON THE CLASSICAL SOLUTION OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS
• ON CONDITIONS FOR THE EXISTENCE OF A CLASSICAL SOLUTION OF THE MODIFIED STEFAN PROBLEM (THE GIBBS-THOMSON LAW)
• The Stefan Problem with a Kinetic Condition at the Free Boundary
• Two-Phase Stefan Problem with Supercooling
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