报告题目：

A global existence of classical solutions to the two-dimensional kinetic-fluid model for flocking with large initial data

报 告 人：

肖清华 副研究员 （中科院武汉物数所）

报告时间：

2017年11月21日 8:30--9:30

报告地点：

数学院三楼报告厅

报告摘要：

We present a two-dimensional coupled system for flocking particle-compressible fluid interactions, and study its global solvability for the proposed coupled system. For particle and fluid dynamics, we employ the kinetic Cucker-Smale-Fokker-Planck (CS-FP) model for flocking particle part, and the isentropic compressible Navier-Stokes (N-S) equations for the fluid part, respectively, and these separate systems are coupled through the drag force. For the global solvability of the coupled system, we present a sufficient framework for the global existence of classical solutions with large initial data which can contain vacuum using the weighted energy method. We extend an earlier global solvability result in the one-dimensional setting to the two-dimensional setting.