Two–dimensional solidification in a corner

DOI10.1098/rspa.1999.0460zbMath0937.65096OpenAlexW2161645508MaRDI QIDQ4719979

David S. Riley, A. M. Wallman, John R. King

Publication date: 17 May 2000

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0460

zbMATH Keywords

asymptotic solutionStefan problemmeltingenthalpy methodcorner solidification

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (7)

Extended Stefan problem for the solidification of binary alloys in a sphere ⋮ Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain ⋮ Moving Boundary Problems for Quasi-Steady Conduction Limited Melting ⋮ Ray methods for free boundary problems ⋮ Solution to the 1D Stefan problem using the unified transform method

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