May 23 – 27, 2022
SISSA
Europe/Rome timezone

On the longtime behavior of solutions of the KdV equation on the line: use of Riemann-Hilbert and d-bar methods for the analysis

May 23, 2022, 3:15 PM
45m
128 (SISSA)

128

SISSA

Via Bonomea 265

Speaker

Ken McLaughlin (Colorado State University)

Description

This is intended to be part 2 of the previous talk (of Percy Deift), and the collaborations are as described by Percy in his abstract . The presentation was crafted together with Thomas Kriecherbauer. By way of introduction, we will consider the stationary phase analysis of an integral, when the steepest descent method doesn't immediately work. The basic d-bar operator will play a useful rule. We will then carry out some analysis of the Riemann-Hilbert problem for the KdV equation in the longtime limit, explaining the use of the d-bar method.

Primary author

Ken McLaughlin (Colorado State University)

Presentation materials

There are no materials yet.