天元基金系列报告

报告题目: New localized solutions for reaction-diffusion systems

主讲人：Leiden University(莱顿大学)，Netherland(荷兰)

             Martina Chirilus-Bruckne

报告时间：2022年4月7号下午2:00-3:00

报告地点：Zoom 在线会议：863 8977 5996     密码：123456

报告摘要：Localized structures such as fronts or pulses play an important role in unlocking the complicated dynamics exhibited by reaction-diffusion systems. Much of the past research in the nonlinear waves community has been dedicated to study existence, stability, bifurcations and interaction of localized structures. This talk will explain how new types of these important special solutions, namely, fronts and pulses with heterogeneous tails can be studied. These do not necessarily approach constant or periodic states, but arbitrary bounded solutions. As such they can be viewed as a generalization of conventional fronts and pulses. From an application point of view, these new solutions naturally arise in PDEs with spatially varying coefficients that are used to improve the modelling of phenomena in heterogenous environments.

报告人简介：Martina Chirilus-Bruckne, Assistant Professor at Mathematical Institute, Leiden University, Netherland. She was a postdoctor at Brown University and Boston University in USA, and Centrum Wiskunde en Informatica in Netherland. Her research interest is applied partial differential equations and dynamical systems. She is mostly interested in the analysis of existence, stability and interaction of localized structures such as fronts, pulses or wave packets, and various equation types ranging from nonlinear wave equations and reaction-diffusion systems to lattice equations and PDEs on graphs.