报告人: 黄建华教授

报告人单位：国防科学技术大学

报告时间：5月26日上午9点

报告地点：数学与统计学院一楼报告厅

n this talk, we present some results on the ergodicity of MHD equations driven by degenerated noise. We firstly established the existence, uniqueness and attraction properties of an invariant measure for the MHD equations with degenerate stochastic forcing acting only in the magnetic equation. The central challenge is to establish time asymptotic smoothing properties of the Markovian dynamics of corresponding to this system. We gave a condition which only needs several noise in the magnetic direction to ensure the time asymptotic smoothing properties. If the number of noise is large enough, we also established the ergodicty for stochastic MHD equation by using the Malliavin Calculus and asymptotic strong Feller arguments, both additive degenerated noise and multiplicative degenerated noise are considered. This is a joint work with Xuhui Peng, Chunxiao Guo and Tianlong Shen.

报告人简介：

黄建华，国防科技大学理学院数学系教授、博士生导师，主要从事非线性偏微分方程行波解与无穷维随机动力系统的动力学研究，曾获军队院校育才奖银奖，先后主持国家自然科学基金项目和湖南省自然科学基金项目多项，获湖南省自然科学奖二等奖1次，湖南省教学成果奖一等奖1次，曾在美国Auburn大学、加拿大Memorial大学、York大学、Dalhousie大学和西班牙Seaville大学做访问学者和合作研究。