Explicit solutions to phase change problems

DOI10.1090/QAM/719507zbMath0527.73003OpenAlexW19101514MaRDI QIDQ3042504

Vasilios Alexiades, David G. Wilson, Alan D. Solomon

Publication date: 1983

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/719507

zbMATH Keywords

phase changebinary alloy solidificationmelting of initially cold materialphase change temperature unchanged in timeproblems having explicit solutionssolid and liquid concentrationssolution exists for all choices of initial and boundary conditions and thermal and diffusion parameters

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Free boundary problems for PDEs (35R35)

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Nonlinear Stefan problem with convective boundary condition in Storm's materials ⋮ Determination of unknown coefficients of a semi-infinite material through a simple mushy zone model for the two-phase Stefan problem ⋮ One-dimensional nonlinear Stefan problems in Storm's materials ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ Moving boundary problems for an extended Dym equation. Reciprocal connection ⋮ Moving boundary problems for the Harry Dym equation and its reciprocal associates ⋮ Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions ⋮ Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ Determination of unknown thermal coefficients in a Stefan problem for Storm's type materials ⋮ Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations ⋮ Approximation of the modified error function

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