Existence of periodic solutions for the quasi-static thermoelastic thermistor problem
type: Item
instance of: scholarly article
title: Existence of periodic solutions for the quasi-static thermoelastic thermistor problem
zbMATH Open document ID: 1172.35314
author: Maurizio Badii
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2009-06-08T00:00:00Z
review text: The author consider a model for thermistor problem which consists of a nonlinear coupled system of partial differential equations which includes the evolution equation of the temperature in a conductor body, the stationary charge conservation equation of electrical current and a system of quasi-static linear thermoelasticity equations of displacements subject to the external forces and heat sources. For this quasi-static thermoelastic thermistor problem, the author establish the existence of weak periodic solutions. To this end, it is rewritten the system of equations as an abstract problem in order to utilize the maximal monotone mappings theory and a fixed point argument for a suitable operator equation.
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 5562685
zbMATH Keywords: periodic solutions
zbMATH Keywords: thermistor problem
zbMATH Keywords: quasi-static thermoelastic equations
zbMATH Keywords: weak solutions
reviewed by: Marin I. Marin
MaRDI profile type: Publication
full work available at URL: s00030-008-7017-0
OpenAlex ID: W1999734747
DOI: 10.1007/S00030-008-7017-0
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description: scientific article; zbMATH DE number 5562685