报告人：吴奖伦（Swansea University，UK）

时间：2022年09月18日 16:00

腾讯会议号：433 384 156

报告摘要：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. This talk is based on joint work with Zhao Dong (Chinese Academy of Sciences) and Guoli Zhou (Chongqing University).

报告人简介：吴奖伦现为英国斯旺西大学(Swansea University，UK)教授，伦敦数学学会会员。博士毕业于中科院应用数学研究所，师从严加安院士。先后为德国洪堡学者，德国波鸿-鲁尔大学数学研究所研究员（Research Fellow）和数学系助教、德国波恩大学应用应用数学研究所研究员、新加坡国立大学数学研究所高级研究员等。主要研究数学、金融及统计物理中所涉及到的无穷维随机分析问题。在《Ann. Appl. Probab.》，《J. Funct. Anal.》，《J. Differential Equ.》，《Trans. Amer. Math. Soc.》,《Stochastic Process. Appl.》，《Potential Anal.》，《Bull. Sci. Math.》，《Applied Mathematics and Optimization》，《Commun. Math. Physics》等国际期刊上发表学术论文多篇。

邀请人：穆春来

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