报告题目:Stability for Abstract Thermoelastic Systems Following Cattaneo’s Law

报告人: 邓晨曦

报告日期：6月27日 星期六

报告时间：15：00-15：30

报告地点：逸夫楼1537

报告摘要：We will discuss the stability of abstract thermoelastic systems where the heat conduction law follows Cattaneo’s law. This law describes the finite speed of heat propagation in a medium, addressing the paradox of infinite speed of heat transfer according to Fourier’s law.The study encompasses two cases: systems with and without inertial terms. For systems incorporating inertial terms, by analyzing the spectral properties of the system’s generator, we partition the parameter space involving coupling, thermal dissipation, and the inertial term into four parts. We provide polynomial decay rates for each region, demonstrating that the decay rates for three of these regions are optimal. In the case without inertial terms, we divide the parameter space into three parts and present the optimal polynomial decay rates for each part.