关于举行闫威教授（河南师范大学）学术报告会的通知

报告主题: Almost sure spatial decay and almost sure nonlinear smoothing for two classes of stochastic dispersive equations with additive noise

报 告 人: 闫威教授

报告时间：2026年 9月5日（星期六）下午3:40-4:30

报告地点：37号楼3A02

邀 请 人: 李用声、周富军 教授

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数学学院

2026年 9月3日

报告摘要：

In this talk, we consider the almost sure nonlinear smoothing, the almost sure spatial decay and the almost sure uniform convergence ofthe stochastic mKdV equation with additive noise and the stochastic cubic KdV-Benjamin-Ono equation with additive noise. Firstly, for initial data $g\in H^{s}(\R)(s\geq\frac{1}{4})$ and $\Phi_{2}\in L_{2}^{0,s}$, we prove the local well-posedness for the stochastic cubic KdV-Benjamin-Ono equation. Secondly, we establish the almost sure nonlinear smoothing of the stochastic mKdV equation and the stochastic cubic KdV-Benjamin-Ono equation. Finally, by using the almost sure nonlinear smoothing, we obtain the almost sure spatial decay and the almost sure uniform convergence of the integral term in the pathwise solutions to the stochastic mKdV equation and the stochastic cubic KdV-Benjamin-Ono equation.

报告人介绍：

闫威，博士，2011年博士毕业于华南理工大学，河南师范大学教授，博士生导师，主要从事调和分析、偏微分方程、随机偏微分方程和初值随机化等方面的研究工作，目前主持国家自然科学基金项目多项，曾先后在Ann. l'Institut Henri Poincaré，Anal. Nonl., Indiana Univ. Math J.，Forum Math., J. Differential Equations ， Proc. AMS，Science China,Math等发表文章多篇。