中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 朱锡鲁（University of Michigan）

Inviter: 范晨捷 

Language: Chinese

Title: Global Behavior of Multispeed Klein-Gordon System

Time&Venue: 2025年7月7日（星期一）15:00-16:00

& 思源楼S813

Abstract:In this talk, we explore the long-time behavior of multispeed Klein-

Gordon systems in space dimension two. In terms of Klein-Gordon systems, 

the space dimension two is somehow considered as a critical threshold with 

possible transition form stability to instability. To illustrate this, we first prove 

a global wellposedness result when Klein-Gordon systems satisfy Ionescu-Pausader 

nondegeneracy conditions and the nonlinearity is assumed to be 

semilinear. Second, on the other hand, we construct a specific Klein-Gordon 

system such that one of the nondegeneracy conditions is violated and its 

solution has an infinite time blowup, which implies a type of illposedness.