报 告 人：朱蓉禅 博士
北京理工大学
报告题目：Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
报告时间：2014年11月10日（周一）下午4:00
报告地点：静远楼1506学术报告厅
报告摘要：In this talk we present a general framework for solving stochastic functional differential equations in infinite dimensions in the sense of martingale solutions, which can be applied to a large class of SPDE with finite delays, e.g. d-dimensional stochastic fractional Navier-Stokes equations with delays, d-dimensional stochastic reaction-diffusion equations with delays, d-dimensional stochastic porous media equations with delays. Moreover, under local monotonicity conditions for the nonlinear term we obtain the existence and uniqueness of strong solutions to SPDE with delays.
朱蓉禅博士简介：
2012年获中科院数学与系统科学院和德国比勒菲尔德大学博士学位，现在北京理工大学工作，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。