Date/heure
19 novembre 2021
11:00 - 12:00
Oratrice ou orateur
Rafael Tiedra de Aldecoa
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
We consider the Dirichlet Laplacian in a two-dimensional strip composed of segments translated along a straight line with respect to a rotation angle with velocity diverging at infinity. We show that this model exhibits a “raise of dimension” at infinity leading to an essential spectrum determined by an asymptotic three-dimensional tube of annular cross section. If the cross section of the asymptotic tube is a disc, we also prove the existence of discrete eigenvalues below the essential spectrum. Joint work with David Krejcirik (Prague).