报告主题：First Integral and applications to nonlinear differential equations
报告时间：6月20日下午15:00-16:00
报告地点：威廉希尔一楼报告厅
报告人：冯兆生教授
报告摘要：
In this talk, we propose a systematic approach to find the first integrals and Darboux polynomials of nonlinear differential systems. As applications, some new Darboux polynomials of nonlinear models arising in physics, biology, engineering, and fluid mechanics are investigated by this approach. Particularly, a nonintegrable three-dimensional system with non-chaotic behaviors is introduced and traveling wave solutions of some partial differential equations are presented and classified. This work is joint with Kaiyin Huang and Shaoyin Shi.
嘉宾介绍：
冯兆生，美国德克萨斯大学RGV分校Carlos and Stephanie Manrique de Lara讲席教授。主要研究方向是非线性分析，动力系统，数学物理问题，数值计算与模拟等，曾于2015和2021年两次获得德克萨斯大学年度杰出科研成就奖。现任国际知名学术期刊CNSNS的共同主编和EJDE的执行主编，和多个国际SCI杂志的编委及AIMS应用数学系列丛书的编委。
报告主题：Wong-Zakai approximation for the dynamics of stochastic evolution equations driven by rough path
报告时间：6月20日下午16:00-17:00
报告地点：威廉希尔一楼报告厅
报告人：高洪俊教授
报告摘要：
In this talk, we talk about the existence of random attractors for a class of evolution equations driven by a geometric fractional Brownian rough path with Hurst index $H\in (\frac{1}{3}, \frac{1}{2}]$ and establish the upper semi-continuity of random attractors $\mathcal{A}_{\eta}$ for the approximated systems of the evolution equations.
嘉宾介绍：
高洪俊，东南大学数学学院二级教授、博士生导师。担任Stochastics and Dynamics期刊编委。目前主要研究兴趣为随机偏微分方程及其动力学。享受国务院政府特殊津贴，获得国防科工委科技进步奖一等奖和教育部自然科学二等奖等奖项，入选江苏省“青蓝工程”中青年学术带头人、江苏省“333”工程高层次人才、江苏省“青蓝工程”科技创新团队带头人。在包括Adv. Math.、SIAM J. Math. Anal.、SIAM J. Appl. Dyn. Syst.、J. Reine Angew. Math.、J. London Math. Soc.、Int. Math. Res. Not.、J Differ. Eqns.、J. Nonlinear Sci.和中国科学在内的国内外重要期刊发表论文多篇。主持包括国家自然科学基金重点项目的基金项目多项，参与973项目。