Vortex layer cascades and finite time singularities for incompressible fluids
数学专题报告
报告题目(Title)：Vortex layer cascades and finite time singularities for incompressible fluids
报告人(Speaker)：Prof. Diego Cordoba (ICMAT, Spain)
地点(Place)：Zoom ID: 81104105563 Password: 123456
时间(Time)：2025年12月10日（周三）16:00-17:00
邀请人(Inviter)：薛留堂
报告摘要
We present a mechanism for finite time blow-up in the two-dimensional incompressible Boussinesq equations, achieved through a multi-layer degenerate pendula dynamics with a uniform C^{1, \alpha} forcing term.
The construction gives rise to a vortex layer cascade in which vorticity and temperature gradients concentrate successively, leading to singularity formation in finite time. We will outline the key ideas behind the cascade mechanism and discuss its implications for singularity formation in incompressible fluid equations. These results are joint works with Luis Martínez-Zoroa, Andrés Laín Sanclemente and Fan Zheng.
