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Double layer
concentration and homogenization for the heat diffusion in a
composite material
Micol Amar, Afsheen Ayub and Roberto Gianni |
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Vol. 12 (2024), No. 1, 19–45
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Abstract |
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We investigate the possibility of deriving “nonstandard” transmission conditions, across a sharp contact interface, for a heat equation (in its static, i.e., elliptic, counterpart), by means of a concentration approach performed on a composite “thick” interface separating two thermally conductive media. Subsequently, a homogenization limit is performed via two-scale asymptotic expansions on the system of equations thus obtained. |
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Keywords
homogenization, asymptotic expansions, concentration,
elliptic partial differential equations
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Mathematical Subject Classification
Primary: 35B27, 35C20, 35J47
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Milestones
Received: 12 April 2023
Revised: 14 September 2023
Accepted: 3 October 2023
Published: 20 December 2023
Communicated by Emilio Barchiesi
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Authors |
| Micol Amar | |
| Dipartimento di Scienze di Base e
Applicate per l’Ingegneria University of Rome La Sapienza Rome Italy |
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| Afsheen Ayub | |
| Government Degree College for Women,
Ayub Research Faisalabad Pakistan |
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| Roberto Gianni | |
| Dipartimento di Matematica e
Informatica University of Florence Firenze Italy |
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| © 2024 MSP (Mathematical Sciences Publishers). |
