报告题目 (Title)：Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels （二）
具有非可积核的连续的Kuramoto模型的松弛动力学（二）
报告人 (Speaker)： Valeriia Zhidkova（博士生）
报告时间 (Time)：2026年6月18日（周四）9:00
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：王宇澄
主办部门：理学院数学系
报告摘要：In this lecture, we study a doubly regularized approximation of the singular continuum Kuramoto model obtained through kernel truncation and the addition of fractional dissipation. We establish the global existence of weak solutions to the regularized problem and derive the uniform a priori estimates needed for the singular limit procedure. A central part of the analysis concerns the control of the phase diameter. In particular, we prove that if the initial phase diameter is bounded by \pi, then this bound is propagated by the dynamics. This diameter control plays a fundamental role in the subsequent synchronization analysis and in the derivation of uniform energy estimates.
