报告题目： Principle of linearized stability for parabolic partial differential equations with state-dependent delay

报告人：吕云飞，天津工业大学

报告摘要：Considering the maturation condition which ties the change of individual size, we propose a nonlinear size-structured population model in terms of a one-order quasi-linear partial differential equation with nonlinear boundary condition. This model can be transformed into a parabolic partial differential equation with state-dependent delay. In order to study the dynamical behavior for this system, it is natural to ask about how to obtain the equilibrium solutions, how to linearize a differential equation with state dependent delay at its equilibrium solution and discuss its stability properties. For this, we establish the principle of linearized stability for this problem.

报告人简介：吕云飞，天津工业大学，副教授，主要从事生物数学和微分方程与动力系统两方面的研究，在JDE、JDDE、DCDS、JMAA等数学重要SCI期刊以第一作者发表论文24篇，主持国家自然科学青年基金和面上项目各一项、天津市自然科学基金一项，入选天津市131人才工程第二层次。

报告邀请人：非线性泛函分析与微分方程科研团队

报告时间：2020年9月25日上午10:10-11:10

报告地点：腾讯会议ID：350590737