学术讲座【Stochastic variational principles for dissipative equations with advected quantities】
时间:2018年6月1日(星期五) 14:30
地点:旗山校区理工北楼601报告厅
主讲:上海交通大学,陈昕研究员
主办:数学与信息学院,福建省分析数学及应用重点实验室, 数学研究中心
参加对象:相关专业老师及学生
报告摘要:We present symmetry reduction for material stochastic Lagrangian systems with advected quantities whose configuration space is a Lie group. Such variational principles yield deterministic as well as stochastic constrained variational principles for dissipative equations of motion in spatial representation. We apply this technique to the compressible Navier-Stokes equation and to magnetohydrodynamics for charged viscous compressible fluids.A stochastic Kelvin-Noether theorem is derived. This talk is based on a joint work with Ana Bela Cruzeiro and Tudor Ratiu.
报告人简介:陈昕特别研究员现任职于上海交通大学数学科学学院。他的研究兴趣主要集中在随机分析中的若干问题,包括泛函不等式,无穷维空间上的随机分析,跳过程的位势理论,随机方法在几何分析中的应用等等。
他在 Probablity theoryand related fields, Journal of functional analysis, Stochastic processes and their applications,Electronic journal of probability¬? 等随机分析邻域的重要期刊上发表(SCI)论文超过15篇。