报告题目：Global well-posedness and regularity of 3D Burgers equations with multiplicative noise

报告人：周国立 教授，重庆大学  

时间：10月21（周三），下午4:00-5:00

腾讯会议：会议 ID：256 297 280 会议密码：123456

报告摘要：

In the present work, we establish the existence and uniqueness for the mild solutions, weak solutions and strong solutions to 3D stochastic Burgers equations with linear multiplicative noise. More-over, we obtain the moments estimates in various functional spaces for this stochastic equations. The proofs of main results heavily rely on the maximum principle. This work may open the way to study anticipating multidimensional stochastic Burgers equations, dynamics of multidimensional stochastic Burgers equations and the averaging principle for multidimensional stochastic Burgers equations. As far as we know, there is few work about the long-time behavior of the 3D stochastic Burgers equations, we will point out the key difficulties in our work.