Quasi-neutral and quantum many body limits

报告摘要：Quasi-neutral and quantum many body limits 
报 告 人： Immanuel Ben-Porat (University of Basel)
报告时间：2025年 8月2日下午 19：00-20：00
报告地点：思源楼615
邀请人： 夏旭
报告摘要：The quasi-neutral limit is a hydrodynamic limit which provides a derivation of fluid equations (typically incompressible or compressible Euler) from kinetic equations (typically of Vlasov-Poisson type). On the other hand the semi-classical and quantum many body limit offer a derivation of a kinetic equation from dispersive dynamics of single\many body Schr\"odinger type. We will introduce both of these regime and then discuss the possibility of combining these two regime, by considering dispersive dynamics with a quasi-neutral scaling. Partially based on joint work with  Gui-Qiang Chen and  Difan Yuan