Seminar Event Detail


Integrable Systems and Random Matrix Theory

Date:  Monday, October 04, 2021
Location:  ZOOM ID: 926 6491 9790 Virtual (4:00 PM to 5:00 PM)

Title:  A dbar-steepest descent analysis for the long-time asymptotic behavior of oscillatory Riemann-Hilbert problems

Abstract:   We will discuss the long-time asymptotic behavior of oscillatory Riemann-Hilbert problems (RHPs) arising in the mKdV hierarchy (reducing from the AKNS hierarchy). Our analysis is based on the idea of dbar-steepest descent. We will consider RHPs generated from the inverse scattering transform of the AKNS hierarchy with weighted Sobolev initial data. The asymptotic formula for three regions (Oscillating, fast decaying, Painleve region) of the spatial and temporal dependent variables will be presented.

A recording can be found here.

Files:


Speaker:  Fudong Wang
Institution:  University of Central Florida

Event Organizer:   Ahmad Barhoumi    barhoumi@umich.edu

 

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