A mathematical model of spherical nucleus in the undercooling state of metal

DOI10.2977/PRIMS/1195188428zbMath0405.35067OpenAlexW2042005870MaRDI QIDQ1257160

Tatsuo Nogi

Publication date: 1979

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195188428

zbMATH Keywords

Heat EquationChange of PhaseFree Boundary ProblemsSolidification of a Molten MetalStefan ProblemSurface Free Energy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Statistical mechanics of metals (82D35) Free boundary problems for PDEs (35R35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Remarks on the maximum principle for parabolic equations and its applications
• A difference scheme for solving the Stefan problem
• The one-phase Stefan problem for the heat equation with boundary temperature specification

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