Scientific talk 2: Large time dynamics in Klein-Gordon equations

报 告 人：Louis Garénaux (KIT, 卡尔斯鲁厄理工学院)

报告时间：2025年12月11日（星期四）9:00—10:00

报告地点：数学科学学院114（小报告厅）      

校内联系人：廖娴 教授         联系方式：84708351-8501

Abstract:The Klein-Gordon equation is a wave equation with an additional mass damping term. In this presentation, I will review some literature about the dynamic of such equation when settled on an unbounded one-dimensional spatial domain. I will further present some new results regarding the global existence and long time behaviour of solutions that are initialy close to constant or periodic equilibria.

Most notably, I will talk about a viscous approximation of this equation, as well as describe how uniformly local orbital stability can be obtained from polar decomposition.

It is a joint work with Björn de Rijk and Emile Bukieda.