Colloquium / Seminars

Topic：Introduction to Semiclassical Asymptotic Analysis: Lecture 2
Speaker：Prof. Peter D. Miller
　　　　(Dept. of Mathematics, University of Michigan)
Date time：Dec. 23, 2025 15:30 - 16:30
Venue：SA213
Abstract：
Abstract
We continue the analysis of the defocusing nonlinear Schrödinger equation in the semiclassical limit. With the scattering data approximated using the WKB method, we turn to the inverse-scattering problem which is formulated as a matrix Riemann-Hilbert problem, here also involving the small parameter in a singular fashion. We develop the key ideas of the Deift-Zhou steepest descent method, and show how it leads to phenomena such as wave breaking.
Download：Talk_1141223.pdf

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