报告人：汪更生（天津大学）

邀请人：黄山林

报告题目：Decomposition for the flow of the heat equation with memory

报告时间：2020年12月10日（星期四）9：30-11：30

报告地点：科技楼南楼602会议室

报告摘要：We analyze the dynamics of the heat equation with a general memory kernel, through building up a decomposition of the flow generated by the equation.This decomposition has three components. The first one shows the heat-like effect of the flow, the second one presents the wave-like effect of the flow, while the last one is a good remainder in the sense of the smooth effect. Thus, the decomposition reveals a hybrid parabolic-hyperbolic phenomena of the flow. Moreover, this decomposition gives approximately an explicit difference between solutions of the heat equations with and without memory.

报告人简介：汪更生, 天津大学应用数学中心教授. 主要从事分布参数系统控制理论的研究，出版《Time Optimal Control of Evolution Equations》、《Periodic Feedback Stabilization for Linear Periodic Evolution Equations》学术专著两部. 现任国际控制论权威刊物《SIAM J. Control Optim.》以及控制论知名期刊《ESAIM Control Optim. Calc. Var.》和《Mathematical Control and Related Fields》的编委.