Extinction behaviour for two–dimensional inward-solidification problems

DOI10.1098/rspa.2002.1059zbMath1041.35092OpenAlexW2150265655WikidataQ58484825 ScholiaQ58484825MaRDI QIDQ4739620

David S. Riley, Scott W. McCue, John R. King

Publication date: 6 August 2004

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://eprints.qut.edu.au/14344/1/14344a.pdf

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (13)

Extended Stefan problem for the solidification of binary alloys in a sphere ⋮ Classical two-phase Stefan problem for spheres ⋮ MODELLING SCAFFOLD OCCUPATION BY A GROWING, NUTRIENT-RICH TISSUE ⋮ Asymptotic analysis of a two-phase Stefan problem in annulus: application to outward solidification in phase change materials ⋮ 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 ⋮ Single phase limit for melting nanoparticles ⋮ On melting and freezing for the 2D radial Stefan problem ⋮ CRITICAL LENGTH FOR THE SPREADING–VANISHING DICHOTOMY IN HIGHER DIMENSIONS ⋮ Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain ⋮ Moving Boundary Problems for Quasi-Steady Conduction Limited Melting ⋮ New exact solutions for Hele-Shaw flow in doubly connected regions ⋮ The extinction problem for three-dimensional inward solidification

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