报告题目： Global well-posedness and ergodicity of 3D Burgers equation with a multiplicative noise force 

报告人：吴奖伦 （香港浸会大学&北京师范大学）

报告时间：6月28日 9:00

报告地点：管理楼1418

摘要：

This talk is concerned with a 3D Burgers equation perturbed by a linear multiplicative noise. Utilising Doss-Sussman transformation, we link the 3D stochastic Burgers equation to a 3D random Burgers equation. Utilising certain techniques from nonlinear partial differential equations and stochastic analysis, we are able to establish the global well-posedness of 3D Burgers equation with constant diffusion coefficient. Moreover, by developing a solution which is orthogonal to the gradient of diffusion coefficient, we extend the global well-posedness result to a more general case to allow the diffusion coefficient to be a function of space and time variables. Our results and methodology pave a way to extend regularity results of 1D Burgers equations to 3D Burgers equations. Based on joint works with Zhao Dong (Chinese Academy of Sciences), Boling Guo (Beijing Institute of Applied Physics and Computational Mathematics) and Guoli Zhou (Chongqing University).