报告地点：行健楼学术活动室665
邀请人：尹会成教授
摘要：In this talk, I will present our recent results on the water wave equations. First, I give the proof of the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Lipschitz function and the free surface belongs to $C^{\f32+\varepsilon}$. Second part, I will talk about the water-waves problem in a two-dimensional bounded corner domain $\Om_t$ with an upper free surface $\Gamma_t$ and a fixed bottom $\Gamma_b$. We prove the local well-posedness of the solution to the water-waves system when the contact angles are less than $\f{\pi}{16}$.