Long time asymptotics of large data in the Kadomtsev-Petviashvili models and geometrical aspects of its dynamics

Past seminar

Speaker: Felipe Poblete

Universidad Austral de Chile, Chile

Date: Tuesday, January 10, 2023 at 12 Santiago time

Abstract: In this talk we consider the Kadomtsev-Petviashvili equations posed on R2. For both models, we provide sequential in time asymptotic descriptions of solutions obtained from arbitrarily large initial data, inside and far regions of the plane not containing lumps or line solitons, and under minimal regularity assumptions. A geometrical description of the dynamics will be given in terms of parabolic regions.

Joint work with A. J. Mendez, C. Muñoz and J.C. Pozo

Venue: Online via Zoom / Sala seminarios DIM, 5th floor, Beauchef 851
Chair: Gabrielle Nornberg