Speaker：Chenyun Luo (The Chinese University of Hong Kong)

Time：2024-10-30, 17:00

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

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. This is a joint work with Zhongtian Hu (Duke), and Yao Yao (NUS).