数学学术报告三：
报告题目【Wave Equation with van der Pol Boundary Condition】
时间：2020年11月13日 (星期五)上午09:30
地点：腾讯会议（会议 ID：871856122）
主讲：Texas-RGV大学Feng Zhaosheng教授
主办：数学与信息学院、数学研究中心、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）
参加对象：相关研究方向的老师和学生
报告摘要：In this talk, we consider the one-, two- and three-dimensional wave equation on the unit interval [0, 1] with a van der Pol type condition. This nonlinear boundary condition behaves like a van der Pol oscillator, causing the total energy to rise and fall within certain bounds regularly or irregularly. We formulate the problem in terms of an equivalent first order hyperbolic system and use the method of characteristics to derive a nonlinear reflection relation caused by the nonlinear boundary conditions. Qualitative and numerical techniques are developed to tackle the cubic nonlinearities and the chaotic regime is determined. Numerical simulations and visualizations of chaotic vibrations are illustrated by computer graphics.
报告人简介：Zhaosheng Feng is a full-professor at the School of Mathematical and Statistical Sciences of University of Texas-RGV, Edinburg, Texas 78539, USA. His research interests include nonlinear analysis, dynamical systems, computational methods, mathematical physics and mathematical biology etc.