Date/heure
3 décembre 2024
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Hugo Parada (Université de Toulouse)
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
The Korteweg-de Vries (KdV) equation was introduced as a model to describe the propagation of long water waves in a channel. This nonlinear third-order dispersive equation has been extensively studied in the past years from different perspectives, particularly its controllability and stabilization properties. In this talk, we focus on the KdV equation posed in a star network. We present controllability and exponential stability results achieved by acting on a reduced number of branches in various configurations (delay, saturation, unbounded branches). This talk is based on joint works with E. Crépeau, C. Prieur,R. A. Capistrano-Filho and J. S. da Silva.