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The Stefan problem with mushy regions: continuity of the interface

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Publication:4204569
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DOI10.1017/S030821050002816XzbMath0686.35109MaRDI QIDQ4204569

M. H. A. Klaver, Michiel Bertsch

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)


zbMATH Keywords

continuity of the free boundaryStefan problemmushy regionsauxiliary comparison functions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Free boundary problems for PDEs (35R35)


Related Items

The Stefan problem with mushy regions: Differentiability of the interfaces ⋮ The Stefan problem: continuity of the interfaces for solutions with finite lapnumber ⋮ Behaviour of mushy regions under the action of a volumetric heat source



Cites Work

  • Stabilization of solutions of a degenerate nonlinear diffusion problem
  • Degenerate diffusion and the Stefan problem
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