Homogenization and concentrated capacity in reticular almost disconnected structures
Comptes Rendus. Mathématique, Volume 335 (2002) no. 4, pp. 329-332.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-073X(02)02482-2
Andreucci, Daniele 1; Bisegna, Paolo 2; DiBenedetto, Emmanuele 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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Andreucci, Daniele; Bisegna, Paolo; DiBenedetto, Emmanuele. 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. http://www.numdam.org/articles/10.1016/S1631-073X(02)02482-2/

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