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Comptes Rendus Mathématique
Volume 335, n° 4
pages 329-332 (2002)
Doi : S1631-073X(02)02482-2
Received : 21 May 2002 ;  accepted : 3 June 2002
Homogenization and concentrated capacity in reticular almost disconnected structures
Homogénéisation et capacité concentrée dans les structures réticulaires presque déconnectées
 

Daniele Andreucci a , Paolo Bisegna b , Emmanuele DiBenedetto c
a Dipartimento di Metodi e Modelli, Università di Roma La Sapienza, via A. Scarpa 16, 00161 Rome, Italy 
b Dipartimento di Ingegneria Civile, Università di Roma Tor Vergata, 00133 Rome, Italy 
c Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA 

Note presented by Philippe G. Ciarlet

Abstract

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. To cite this article: D. Andreucci et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 329-332.

The full text of this article is available in PDF format.
Résumé

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. Pour citer cet article : D. Andreucci et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 329-332.

The full text of this article is available in PDF format.


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