报告人：肖清华（中国科学院精密测量科学与技术创新研究院）

邀请人：雷远杰

报告时间：2021年11月5日（星期五）14:00-16:00

报告地点：科技楼（南楼）702室

报告题目：Asymptotic stability of the phase-homogeneous solution to the Kuramoto-Sakaguchi equation with inertia

报告摘要：We present the existence and large-time behavior of solutions to the Kuramoto-Sakaguchi equation with inertia, which describes the evolution of the probability density function for a large ensemble of Kuramoto oscillators under the effects of inertia and stochastic noises. Based on the classical energy method together with careful analysis, we establish the global-in-time existence and uniqueness of strong solutions with large initial data when the noise strength is large enough a perturbative framework around the Maxwellian type equilibrium. The exponential decay of solutions towards the equilibrium is also obtained as a byproduct.

报告人简介：肖清华，2012年博士毕业于武汉大学sunbet中国官网，2012年至2014年在韩国首尔国立大学做博士后研究，现为中国科学院精密测量科学与技术创新研究院副研究员，主要从事Boltzmann型方程、与Kuramoto 模型和Cucker-Smale模型相关动理学方程等方面的研究。目前在ARMA，CMP，JFA，SIAM.JMA, MMMAS,JDE等期刊发表论文20余篇。