Séminaire : An introduction to the method of layer potentials : applications to the Stokes system (part 2)

Date/heure
11 octobre 2024
11:00 - 12:00

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Mirela Kohr (Faculty of Mathematics and Computer Science Babeş-Bolyai University, Cluj-Napoca, Roumanie)

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)


Résumé

Il s’agit de la suite de l’exposé de la semaine dernière dont voici le résumé :

We study the Laplace and Stokes operators on a manifold with straight cylindrical ends.
We obtain useful Fredholm, regularity, and invertibility results. An important role is played by an adapted pseudodifferential calculus on manifolds with straight cylindrical ends which contains the inverses of its L2-invertible, elliptic operators of non-negative order.
We also obtain the layer potentials for the elliptic operators studied, and the well-posedness of the corresponding Dirichlet problem.
Joint work with Victor Nistor (Metz) and Wolfgang L. Wendland (Stuttgart).