On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
type: Item
instance of: scholarly article
title: On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
zbMATH Open document ID: 0615.35044
DOI: 10.1016/0020-7462(86)90032-6
author: Colin Rogers
published in: International Journal of Non-Linear Mechanics
publication date: 1986-01-01T00:00:00Z
review text: A reciprocal Bäcklund transformation is employed to reduce a Stefan problem for a nonlinear heat conduction equation to a form which admits a class of exact solutions analogous to the classical Neumann solution.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 3996236
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: Stefan problem
zbMATH Keywords: nonlinear heat conduction
zbMATH Keywords: exact solutions
zbMATH Keywords: classical Neumann solution
MaRDI profile type: Publication
full work available at URL: 0020-7462(86)90032-6
OpenAlex ID: W2080910524
description: scientific article; zbMATH DE number 3996236