2025-04-03 Thursday Sign in CN

Activities
New revival phenomena for the Kadomtsev-Petviashvili equation
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Reporter:
Jing Kang, Professor, Northwest University
Inviter:
Xiangke Chang, Associate Professor
Subject:
New revival phenomena for the Kadomtsev-Petviashvili equation
Time and place:
19:45-20:30 March 16(Sunday), N208
Abstract:

In this talk, we report our recent results on the dispersive revival and fractalization phenomena for two-dimensional linear dispersive equations over a bounded domain on the plane subject to periodic boundary conditions. In particular, we study the periodic initial-boundary value problem for the linear Kadomtsev-Petviashvili equation subject to step-function initial data on a square, and analyze the manifestation of the revival phenomenon for the corresponding solution at rational times.  We show that the solution will take on different qualitative behavior in x-direction and y-direction.