Vol. 6, No. 1, 2018

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Error estimate for a homogenization problem involving the Laplace–Beltrami operator

Micol Amar and Roberto Gianni

Vol. 6 (2018), No. 1, 41–59
Abstract

In this paper we prove an error estimate for a model of heat conduction in composite materials having a microscopic structure arranged in a periodic array and thermally active membranes separating the heat-conductive phases.

Keywords
homogenization, asymptotic expansion, Laplace–Beltrami operator, heat conduction
Mathematical Subject Classification 2010
Primary: 35B27, 35Q79
Milestones
Received: 25 September 2017
Revised: 27 December 2017
Accepted: 17 February 2018
Published: 21 March 2018

Communicated by Francesco dell'Isola
Authors
Micol Amar
Dipartimento di Scienze di Base e Applicate per l’Ingegneria
Sapienza Università di Roma
Roma
Italy
Roberto Gianni
Dipartimento di Matematica e Informatica
Università di Firenze
Firenze
Italy