Homogenization and concentrated capacity in reticular almost disconnected structures

Daniele Andreucci; Paolo Bisegna; Emmanuele DiBenedetto

doi:10.1016/S1631-073X(02)02482-2

Homogenization and concentrated capacity in reticular almost disconnected structures
[Homogénéisation et capacité concentrée dans les structures réticulaires presque déconnectées]

Daniele Andreucci ¹ ; Paolo Bisegna ² ; Emmanuele DiBenedetto ³

¹ Dipartimento di Metodi e Modelli, Università di Roma La Sapienza, via A. Scarpa 16, 00161 Rome, Italy
² Dipartimento di Ingegneria Civile, Università di Roma Tor Vergata, 00133 Rome, Italy
³ Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 329-332.

Résumé
Abstract

On calcule la limite homogénéisée-concentrée pour deux équations de diffusion couplées de façon non linéaire dans un domaine cylindrique avec une distribution périodique de cavités cylindriques coaxiales le long de son axe. Ce problème émane de la transduction visuelle.

We compute the homogenized-concentrated limit for a pair of non-linearly coupled diffusion equations in a perforated cylindric domain with coaxial cylindric holes periodically distributed along its axis. This problem arises from visual transduction.

Reçu le : 2002-05-21
Accepté le : 2002-06-03
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02482-2

Affiliations des auteurs :

Daniele Andreucci ¹ ; Paolo Bisegna ² ; Emmanuele DiBenedetto ³

¹ Dipartimento di Metodi e Modelli, Università di Roma La Sapienza, via A. Scarpa 16, 00161 Rome, Italy
² Dipartimento di Ingegneria Civile, Università di Roma Tor Vergata, 00133 Rome, Italy
³ Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA

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     author = {Daniele Andreucci and Paolo Bisegna and Emmanuele DiBenedetto},
     title = {Homogenization and concentrated capacity in reticular almost disconnected structures},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {329--332},
     publisher = {Elsevier},
     volume = {335},
     number = {4},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02482-2},
     language = {en},
}

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Daniele Andreucci; Paolo Bisegna; Emmanuele DiBenedetto. Homogenization and concentrated capacity in reticular almost disconnected structures. Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 329-332. doi : 10.1016/S1631-073X(02)02482-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02482-2/

Bibliographie
Cité par

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[2] D. Andreucci, P. Bisegna, E. DiBenedetto, Homogenization and concentrated capacity limits for a problem in visual transduction, Preprint, 2002

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[8] E.N. Pugh; T.D. Lamb Phototransduction in vertebrate rods and cones: Molecular mechanisms of amplification, recovery and light adaptation, Handbook of Biological Physics, 3, Elsevier, 2000 (Chapter 5)

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