报告人：李佳玮 助理教授 (University of Edinburgh))

时间：2025年10月09日 16:00-

腾讯会议ID：157 038 727       密码 507770

摘要：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).

邀请人：杨箪屿

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