HOMOGENIZATION OF THE GINZBURG-LANDAU EQUATION IN A DOMAIN WITH OSCILLATING BOUNDARY

Antonio Gaudiello (1) , Rejeb Hadiji (2) , Colette Picard (3)

1 DAEIM - Dipartimento di Automazione, Elettromagnetismo, Ingegneria dell'Informazione e Matematica Industriale
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
3 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We study the asymptotic behaviour, as h tends to +∞, of the nonlinear system. n a varying domain Ω_h in R^2. The boundary ∂Ω_h contains an oscillating part like a comb with fine teeth periodically distributed in the first direction 0x_1 with period h−1 and thickness λh−1, 0 < λ > 1.

Domaines: Equations aux dérivées partielles [math.AP]

Antonio Gaudiello, Rejeb Hadiji, Colette Picard. HOMOGENIZATION OF THE GINZBURG-LANDAU EQUATION IN A DOMAIN WITH OSCILLATING BOUNDARY. Comm. Appl. Anal., 2003, 7 (no.2-3), p. 209-223. ⟨hal-00797983⟩