报 告 人：朱湘禅 博士
北京交通大学
报告题目：Three-dimensional Navier-Stokes equations driven by space-time white noise
报告时间：2014年11月10日（周一）下午3:00
报告地点：静远楼1506学术报告厅
报告摘要：In thistalk we studying 3D Navier-Stokes (NS) equation driven by space-time white noise by using regularity structure theory introduced by Martin Hairer and paracontrolled distribution proposed in [GIP13]. We obtain local existence and uniqueness of solutions to the 3D Navier-Stokes equation driven by space-time white noise. We also study the approximations to 3D Navier-Stokes (NS) equation driven by space-time white noise by paracontrolled distribution. We should subtract some drift terms in approximating equations such that it converges to 3D NS equation driven by space-time white noise. These drift terms, which come from renormalizations in the solution theory, converge to the solution multiplied by some constant depending on approximations.
朱湘禅博士简介：
2012年获北京大学和德国比勒菲尔德大学博士学位，现在北京交通大学工作，主要研究兴趣是随机偏微分方程和狄氏型理论等，目前已在概率论著名期刊Ann. Probab.、Stoc. Proc. Appl.等发表多篇高水平SCI论文。