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

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.

Posted on Jan 6, 2023 in Differential Equations, Seminars