The evolution thermistor problem with degenerate thermal conductivity
type: Item
instance of: scholarly article
title: The evolution thermistor problem with degenerate thermal conductivity
zbMATH Open document ID: 1012.35047
author: M. T. González Montesinos
author: Francisco Ortegón Gallego
published in: Communications on Pure and Applied Analysis
publication date: 2003-06-12T00:00:00Z
review text: The paper deals with weak solvability of the following time dependent thermistor problem with degenerate thermal conductivity \[ \begin{cases} u_t -\nabla\cdot (a(u)\nabla u)=\sigma(u)|\nabla\varphi|^2 &\text{ in }Q=\Omega\times (0,T),\\ \nabla\cdot (\sigma(u)\nabla \varphi)=0 &\text{ in }Q,\\ u=0 &\text{ on }\partial\Omega\times(0,T),\\ \varphi=\varphi_0 &\text{ on }\partial\Omega\times(0,T),\\ u(\cdot,0)=u_0 &\text{ in }\Omega. \end{cases} \] {}.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 1833224
zbMATH Keywords: nonlinear degenerate parabolic equations
zbMATH Keywords: weak solutions
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: parabolic-elliptic system
MaRDI profile type: Publication
full work available at URL: cpaa.2002.1.313
OpenAlex ID: W2079687983
DOI: 10.3934/CPAA.2002.1.313
description: scientific article; zbMATH DE number 1833224