A Stefan-Signorini problem
type: Item
instance of: scholarly article
title: A Stefan-Signorini problem
zbMATH Open document ID: 0532.35084
DOI: 10.1016/0022-0396(84)90108-6
author: A. Friedman
author: Shangjiang Li
published in: Journal of Differential Equations
publication date: 1984-01-01T00:00:00Z
review text: The paper deals with a somewhat ''non-classical'' Stefan problem of the following nature. The one-dimensional slab of ice at non-positive temperature is heated at one end, and the resulting water is immediately removed at every instant of melting. In the paper this model problem is formulated as a Stefan problem with Signorini boundary conditions at the moving boundary. Existence and uniqueness results are established for the solution of this free boundary problem, together with a certain study of regularity and of geometric features of the free boundary. Namely, the number of vertical segments of the free boundary is estimated, and the boundary itself is shown to be in \(C^{3/2}\) class.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 3844278
zbMATH Keywords: Stefan-Signorini problem
zbMATH Keywords: Signorini boundary conditions
zbMATH Keywords: Existence
zbMATH Keywords: uniqueness
zbMATH Keywords: regularity
MaRDI profile type: Publication
full work available at URL: 0022-0396(84)90108-6
OpenAlex ID: W2033376653
cites work: Q5520962
cites work: Analyticity of the free boundary for the Stefan problem
cites work: Q5329589
cites work: Heat conduction in a melting solid
cites work: The calculation of heat flow in melting solids
description: scientific article; zbMATH DE number 3844278