A mathematical one-dimensional one-phase model of supercooling solidification
type: Item
instance of: scholarly article
title: A mathematical one-dimensional one-phase model of supercooling solidification
zbMATH Open document ID: 0588.35047
author: Ryo Kobayashi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1983-01-01T00:00:00Z
review text: The author considers one of the many possible models for the freezing of a one-dimensional supercooled pure material; the velocity of the free boundary is taken to be a convex function of the supercooling, i.e., the difference between the actual phase change temperature. This model has no obvious weak formulation, but a proof is described which uses little- known methods to obtain existence and uniqueness results. It would be nice to see the status of this paper compared to the standard results on the conventional Stefan problem, but no reference to these results is given.
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3944396
zbMATH Keywords: models for the freezing
zbMATH Keywords: supercooled pure material
zbMATH Keywords: existence and uniqueness results
zbMATH Keywords: Stefan problem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195182991
OpenAlex ID: W2041785964
cites work: Q3262428
cites work: Q5520962
cites work: A mathematical one-dimensional model of supercooling solidification
DOI: 10.2977/PRIMS/1195182991
description: scientific article; zbMATH DE number 3944396