Phase mixing estimates for the nonlinear Hartree equation of infinite rank
PDE Seminar
Meeting Details
For more information about this meeting, contact Rachel Weaver, Toan T. Nguyen, Alberto Bressan.
Speaker: Chanjin You, Penn State University
Abstract Link: http://sites.google.com/view/chanjinyou
Abstract: The Hartree equation is a mean-field model that describes many-body quantum systems. In this talk, I will present phase mixing estimates for the density associated with the Hartree equation near certain translation-invariant equilibria. These estimates are important to understand the long-time behavior of quantum particles in the context of quantum Landau damping. The proof relies on the pointwise estimate of the Green function associated with the linearized operator and a nonlinear iterative scheme.
Room Reservation Information
Room Number: 114 McAllister
Date: 09/25/2024
Time: 2:30pm - 3:30pm