Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Analysis

 

Dr. Jiawei Li
University of Edinburgh
 
spricht am
 
Donnerstag, 22. Januar 2026
 
um
 
16:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Probabilistic well-posedness of dispersive PDEs beyond variance blowup«

Abstract:
In this talk, we use the fourth moment theorem to investigate a possible extension of probabilistic well-posedness theory of nonlinear dispersive PDEs with random initial data beyond variance blowup. As a model equation, we study the Benjamin-Bona-Mahony equation (BBM) with Gaussian random initial data. By introducing a suitable vanishing multiplicative renormalization constant on the initial data, we show that solutions to BBM with the renormalized Gaussian random initial data beyond variance blowup converge in law to a solution to the stochastic BBM forced by the derivative of a spatial white noise. Based on the joint work with Guopeng Li (BIT), Tadahiro Oh (Edinburgh) and Nikolay Tzvetkov (ENS Lyon).

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Chengcheng Ling

[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Do 15-Jan-2026 10:40:05 MEZ