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Regularity of a thermoelastic problem with variable parameters

Published online by Cambridge University Press:  19 October 2015

P. BARRAL ,
M. C. NAYA-RIVEIRO  and
P. QUINTELA
P. BARRAL
Affiliation:
Department of Applied Mathematics, Faculty of Mathematics, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain email: patricia.barral@usc.es, peregrina.quintela@usc.es
M. C. NAYA-RIVEIRO
Affiliation:
Department of Pedagogy and Didactics, Faculty of Educational Studies Universidade da Coruña, 15071 A Coruña, Spain email: cristina.naya@udc.es
P. QUINTELA
Affiliation:
Department of Applied Mathematics, Faculty of Mathematics, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain email: patricia.barral@usc.es, peregrina.quintela@usc.es ITMATI (Technological Institute for Industrial Mathematics) Campus Vida, 15782 Santiago de Compostela, Spain
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Abstract

This paper deals with a fully-coupled thermoelastic problem, in a heterogeneous medium, arising from the metallurgical industry. The aim is to prove regularity properties of the solution with respect to space and time. Regularity in space is obtained by means of regularity properties for elliptic operators. In order to prove regularity in time, a mathematical induction technique, together with an existence and uniqueness result for this type of problems, is applied.

Keywords

Thermoelasticityquasi-static problemheterogeneous materialsregularity35B6535D3035Q7474F05
Type
Papers
Information
European Journal of Applied Mathematics , Volume 27 , Issue 2 , April 2016 , pp. 213 - 232
Copyright
Copyright © Cambridge University Press 2015 

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