Asymptotic stability of the phase-homogeneous solution to the Kuramoto-Sakaguchi equation with inertia

发布时间：2021-12-03 作者：浏览次数：

Speaker:	肖清华	DateTime:	2021年12月5日（周日）下午2：30-3：20
Brief Introduction to Speaker: 肖清华，武汉中国科学院精密测量科学与技术创新研究院		Place:	6号楼二楼报告厅
Abstract: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