Large time behaviour of the positive density Hartree equation

Vortrag von Prof. Dr. Julien Sabin

Sprecher eingeladen von: Prof. Dr. Klaus Widmayer

Datum: 23.10.25  Zeit: 16.15 - 18.00  Raum: ETH HG G 19.2

The Hartree equation is a quantum version of the nonlinear Vlasov equation in the sense that it is a mean-field approximation of the many-body dynamics (classical for Vlasov, quantum for Hartree). In this talk I will present results concerning the asymptotic stability of homogeneous equilibria for the Hartree equation, which is a quantum version of the "Landau damping" results for the Vlasov equation. This is a joint work in collaboration with Antoine Borie (Rennes) and Sonae Hadama (Kyoto).