第一次报告题目：Dynamics of non-autonomous/ stochastic partly dissipative systems on time-varying domains

报告摘要：In this talk, we present some results on non-autonomous/ stochastic partly dissipative systems on time-varying domains. We first give the definition of a space-time trace class Wiener process on time-varying domain by combining a time trace class Wiener process with a spatial intensity defined on time-varying domain. Then present some nice properties for Wiener process on time-varying domain. We develop a new penalty method to establish the existence and uniqueness of variational solution of SPDS with additive noise on time-varying domain. Finally, we present the existence of global attractor for the process generated by variational solution.

报告时间：2017年4月20日（周四）下午4:00-5:00

报告地点：下沙校区教学D楼204室(学术报告厅)

第二次报告题目：Dynamics and ergodicity of stochastic fractional Boussinesq equations

报告摘要：In this talk, we present some results on stochasticfractional Boussinesq equations (SFBEs). The global well-posedness and the existence of random attractor for (SFBEs) are established under some suitable assumptions. The existence and uniqueness of the invariant measure for (SFBEs) driven by alpha stable noise are also obtained. Finally, the ergodicity of (SFBEs) driven by degenerated noise is provided by asymptotic strong Feller and the support method. This is a joint work with Tianlong Shen

报告时间：2017年4月21日（周五）上午9:00-10:00

报告地点：下沙校区教学D楼204室(学术报告厅)

报告人简介：

黄建华，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，先后在美国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。获湖南省教学成果一等奖1项，获军队院校育才奖银奖。在JDE，DCDS，Siam Appl Dynam Syst.，JMB等杂志上发表论文60余篇，出版专著2部，主持国家自然科学基金面上项目2项，获湖南省自然科学奖二等奖1项。