Events for 03/08/2022 from all calendars
Nonlinear Partial Differential Equations
Time: 3:00PM - 4:00PM
Location: Zoom
Speaker: Tristan Léger, Princeton University
Title: Long-time behavior of quadratic Klein-Gordon with internal mode in 3d
Abstract: In this talk I will present results on the small data regime of a quadratic Klein-Gordon equation with potential in 3d. This is motivated by the question of asymptotic stability of coherent structures in dispersive equations such as solitons.
The main novelty is the presence of an internal mode. We construct global solutions in this setting, and find that they have new features compared to the case with no internal mode. In particular they exhibit growth near certain frequencies, and have anomalously slow time decay.
This is joint work with Fabio Pusateri.