PDE Seminar

Small Scale Creation for 2D Water Waves

  • 演讲者:罗辰昀(香港中文大学)

  • 时间:2024-05-28 17:00-18:00

  • 地点:理学院大楼M616


We study the free boundary Euler equations modeling the motion of capillary water waves in 2D. We construct initial data with a flat initial interface and arbitrarily small velocity, such that the gradient of the vorticity grows at least double-exponentially for all times during the lifespan of the associated solution. This indicates that generic small rotational initial data will not lead to a small solution for all times, which is a sharp contrast to the irrotational water waves.