On the pathwise solutions for a stochastically perturbed shallow water wave equation

发布者:王丹丹发布时间:2020-11-20浏览次数:632

报告题目2:On the pathwise solutions for a stochastically perturbed shallow water wave equation

主讲专家:张磊   教授华中科技大学

报告时间:2020年11月29日(周日) 下午 3:00-4:30

报告形式:腾讯会议  ID:109885231

报告摘要:In this talk, we consider the well-posedness for a class of stochastically perturbed shallow water wave equations. We first establish the local well-posedness for the model with nonlinear multiplicative noise. In the case of linear multiplicative noise, we investigate the conditions which lead to the blow-up phenomena and global existence of pathwise solution. Finally, we show that the linear multiplicative noise has a dissipative effect on the periodic peakon solutions for deterministic Novikov equation.

  

专家介绍:张磊,理学博士,华中科技大学数学与统计学院教授。主要从事偏微分方程定性理论以及随机最优控制的研究。主持多项国家基金项目。在JDE、DCDS-A、Nonlinear. Anal、JMAA等国际重要期刊上发表成果十余篇。