Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series
type: Item
instance of: scholarly article
title: Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series
zbMATH Open document ID: 0573.35051
DOI: 10.1016/0020-7225(85)90089-8
author: R. Sawatsky
author: Colin Rogers
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: Take the linear heat equation with variable coefficients on the half space \(x>0\). For \(x=0\) a nonlinear boundary condition is given. Under these conditions Bergman-type series solutions are constructed. As special cases of the nonlinear boundary conditions the Robin condition and the Stefan-Boltzmann radiation condition for small times are considered.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 3914834
zbMATH Keywords: linear heat equation
zbMATH Keywords: variable coefficients
zbMATH Keywords: nonlinear boundary condition
zbMATH Keywords: Bergman-type series
zbMATH Keywords: Robin condition
zbMATH Keywords: Stefan-Boltzmann radiation condition
reviewed by: Gerald Warnecke
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90089-8
OpenAlex ID: W2015749995
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description: scientific article; zbMATH DE number 3914834