Speaker: Chenyun LUO（The Chinese University of Hong Kong）
Time: May 28, 2024, 17:00-18:00
Location: M616, College of Science Building
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.
南方科技大学数学系微信公众号
© 2015 All Rights Reserved. 粤ICP备14051456号
Address: No 1088,xueyuan Rd., Xili, Nanshan District,Shenzhen,Guangdong,China 518055 Tel: +86-755-8801 0000