报告题目：Intelligent boundary control and the large relaxation time limit for a traffic flow model with nonlinear anticipation

报告人：李送枝 副教授 江西师范大学

报告时间：2026年11月12日14:00-15:00

报告地点：伍卓群楼第一报告厅

校内联系人：刘长春 [email protected]

报告摘要：

We study a traffic flow model with nonlinear anticipation and intelligent boundary control. Under suitable assumptions, we establish global existence and exponential stabilization for large relaxation times and initial data with small spatial derivatives. These properties persist even without interior relaxation. For suitably prepared initial data, we further prove uniform-in-time convergence to a normalized relaxation-free profile with the optimal rate (O(\tau^{-1})) as the relaxation time (\tau\to\infty). The analysis relies on energy estimates exploiting boundary dissipation, complemented by numerical illustrations of the stabilization mechanism.

报告人简介：

李送枝，江西师范大学数学与统计学院副教授，主要研究生物趋化模型解的存在性、稳定性等问题；在J. Differential Equations、Discrete and Continuous Dynamical Systems、Z. Angew. Math. Phys.等杂志上发表论文十余篇。