Generalized Lamé-Clapeyron solution for a one-phase source Stefan problem
type: Item
instance of: scholarly article
title: Generalized Lamé-Clapeyron solution for a one-phase source Stefan problem
zbMATH Open document ID: 0809.35173
author: José-Luis Menaldi
author: Domingo A. Tarzia
published in: Computational and Applied Mathematics
publication date: 1994-07-26T00:00:00Z
review text: The authors derive self-similar solution of the one-phase one-dimensional Stefan problem with a source term of the type \(g(x,t)= \alpha t^{-1} \beta(x/2a t^{1/2})\), establishing necessary and sufficient conditions on the function \(\beta\) for the existence and for the uniqueness of such solutions. The quasi-steady case is also analyzed.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 611166
zbMATH Keywords: one-phase one-dimensional Stefan problem
zbMATH Keywords: necessary and sufficient conditions
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
reviewed by: Antonio Fasano
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 611166