Global well-posedness and regularity of stochastic 3D Burgers equation with multiplicative noise
时间：2022-06-14
阅读量：375次
- 演讲人： 董昭（中国科学院数学与系统科学研究院基地 研究员）
- 时间：2022年06月21日 周二下午2：30（北京时间）
- 地点：腾讯会议 868-504-676
- 主办单位：数据科学研究中心、统计学研究所
Abstract: By utilising called Doss-Sussman transformation, we link our stochastic 3D Burgers equation with linear multiplicative noise to a random 3D Burger equation. With the help of techniques from partial differential equations (PDEs) and probability, we establish the global well-posedness of stochastic 3D Burgers with the diffusion coefficient being constant. Next, by developing a solution which is orthogonal with the gradient of coefficient of the noise, we extend the global well-posedness to more general case, that is, the diffusion coefficient is a function. Our results and methodology pave a way to extend some regularity results of stochastic 1D Burgers equation to stochastic 3D Burgers equations.
报告人简介：董昭教授1996年博士毕业于中国科学院。他主要从事随机过程、随机微分方程研究， 并在国际期刊发表论文50余篇。他主持多项中国国家自然科学基金。他现在是北京航空航天大学、中国科学院大学兼职教授。
Professor Dong Zhao graduated from the Chinese Academy of Sciences with a PhD in 1996. He is mainly engaged in the research of stochastic processes and stochastic differential equations, and has published more than 50 papers in international journals. He presided over a number of National Natural Science Foundation of China. He is now an adjunct professor at Beijing University of Aeronautics and Astronautics and University of Chinese Academy of Sciences
联系人：苏中根（suzhonggen@zju.edu.cn）
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