24 Febbraio, 2022 14:00
Sezione di Fisica Matematica
On Well-posedness for the Gross-Pitaevskii and Hartree Hierarchy Equations
Zied Ammari, IRMAR - Université de Rennes I
Seminario Online - Registrarsi sul sito nel link per avere le coordinate Zoom
Abstract
Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs related to mean field theory of Bose gases. Due to their physical and mathematical relevance, the issues of well-posedness and uniqueness for these hierarchies have recently been studied thoroughly using specific nonlinear and combinatorial techniques. In this talk I will introduce a new approach based on a duality between hierarchies and Liouville equations. Several new results are obtained as an outcome of this approach.