Junction of One-Dimensional Minimization Problems involving S^2 Valued Maps

Antonio Gaudiello (1) , Rejeb Hadiji (2)

1 DAEIMI - Dipartimento di Automazione Elettromagnetismo Ingegneria dell'Informazione Matematica Industriale
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

This paper is composed of two parts. In the frst part, via a reduction dimension method, we derive a one-dimensional minimization problem involving S^2 valued maps for a thin T-shaped multidomain. In the second one, we analyze this limit model.

Mots clés: S 2 valued map; thin multidomain; dimension reduction; singular perturbation.; singular perturbation

Domaines: Equations aux dérivées partielles [math.AP]

Antonio Gaudiello, Rejeb Hadiji. Junction of One-Dimensional Minimization Problems involving S^2 Valued Maps. Adv.Diff.Equations, 2008, 13 (no 9-10), p. 935-958. ⟨hal-00795529⟩