Date/heure
9 juin 2023
11:00 - 12:00
Oratrice ou orateur
Teresa Radice
Catégorie d'évènement Séminaire EDP, Analyse et Applications (Metz)
Résumé
Joint work with Tadeusz Iwaniec and Jani Onninen
The concept of complex harmonic potential in a doubly connected planar capacitor is considered. The differential of a complex potential plays the role of a scalar potential of an electrostatic vector field. The main objective is to rule out the possibility that the differential vanishes at some points. Nevertheless, there can be critical points where the Jacobian determinant of the differential turns into zero. The latter is in marked contrast to the case of real-valued potentials. The complex harmonic capacitor (of electro-magnetic field) also admits an interpretation of the stored energy of a hyperelastic deformation.
Actually, we explore numerous results developed in this latter context.