报告题目：stability of viscous surface waves

报告人：郑云瑞（山东大学数学学院）

报告时间：2021年3月26日星期五下午15:00-16:00

报告地点：河海大学江宁校区励学楼B225

报告摘要：

The viscous surface waves is a classical problem in fluid mechanics, that has been drawn many mathematicians from the pioneer paper of J.Beals in 1980. The viscous surface wave problem is represented by incompressible Navier-Stokes equations in a slab domain bounded below by a fixed smooth boundary and above by a free moving surface, under the effect of gravity. In this talk, We consider the three-dimensional horizontally periodic domain and the fluid dynamics are governed by the the effect surface tension on the free surface and we develop a global well-posedness theory by a nonlinear energy method in low regular Sobolev spaces. Moreover, the solution decays asymptotically to the equilibrium in an exponential rate.

报告人简介：

郑云瑞，目前为山东大学数学学院副教授。主要研究方向为偏微分方程。主持国家自然科学基金，已经完成10篇论文。目前已经在Mem. AMS，SIAM J. Math. Anal.等国际知名期刊发表论文8篇,研究工作受到很多国内外著名学者的关注。