Global solutions of vortex front problems

Prof. Qingtian Zhang
2024-10-30 10:00-11:00
MCM510

Speaker: Prof. Qingtian Zhang (Shenzhen University)
Time: 10:00-11:00  October 30, 2024 (Wednesday)
Venue: MCM510
Title: Global solutions of vortex front problems
Abstract: In this talk, I will introduce the vortex front problem for a family of 2D incompressible fluid models. The contour dynamic equations of the vortex fronts will be derived, which are nonlocal, nonlinear dispersive equations. The existence of global solutions will be proved when the initial data is localized and small by space-time resonance method.