The Navier-Stokes equations in R^2_+ with point vortex initial data
数学专题报告
报告题目(Title)：The Navier-Stokes equations in R^2_+ with point vortex initial data
报告人(Speaker)：王超 教授（北京大学）
地点(Place)：后主楼1124
时间(Time)：2026年6月15日（周一）10:00-11:00
邀请人(Inviter)：薛留堂
报告摘要
In the talk, we study the existence and uniqueness of solutions subject to the non-slip boundary condition. This result was established in Abe [AIHPC 2021] under the condition that the total mass is sufficiently small. Here, we eliminate the smallness assumption by analyzing the linearized operator near the point vortex and constructing a tailored functional framework-one designed to capture the distinct behaviors of the solution in the vicinity of the point vortex and the boundary, respectively.
