星空讲堂：Controllability of quasi-linear parabolic systems

报告人：柳絮教授

报告题目：Controllability of quasi-linear parabolic systems

报告时间：2026年5月7日（周四）9:00-11:30

报告地点：D2-220

欢迎数理学院的师生前来听讲！

报告内容简介：This talk is devoted to studying controllability problems for multi-dimensional quasi-linear parabolic systems. The coefficients in the principal part of the controlled system contain not only the state itself but also its gradient. The null controllability and a multi-objective control problem of the quasi-linear parabolic system are studied, respectively. Furthermore, according to the derivation of thermal diffusion models, a quasi-linear parabolic equation can be formally replaced by its linear counterpart, when their initial data are sufficiently small. We prove this fact and establish a relationship on null controllability between them. In this sense, the null controllability of the quasi-linear parabolic equation can effectively be reduced to that of the linear problem.

报告人简介：柳絮，东北师范大学数学与统计学院教授，国家重点研发计划项目负责人，主要研究确定性与随机分布参数系统控制理论，曾获教育部自然科学奖二等奖和第16届关肇直奖，入选万人计划青年拔尖人才和教育部新世纪优秀人才支持计划。