[09-22] 美国佐治亚理工学院曾崇纯教授学术报告
报告题目：Capillary Gravity Water Waves Linearized at Monotone Shear Flows: Eigenvalues and Inviscid Damping
报告人:曾崇纯（佐治亚理工学院）
报告时间:2022-09-22 10:00-11:00
报告地点:Zoom ID: 937 1179 2373, Passcode: 888888
报告摘要：We consider the 2-dim capillary gravity water wave problem -- the free boundary problem of the Euler equation with gravity and surface tension -- of finite depth linearized at a uniformly monotonic shear flow . Our main focuses are eigenvalue distribution and inviscid damping. We first prove that in contrast to finite channel flow and gravity waves, the linearized capillary gravity wave has two unbounded branches of eigenvalues for high wave numbers. They may bifurcate into unstable eigenvalues through a rather degenerate bifurcation. Under certain conditions, we provide a complete picture of the eigenvalue distribution. Assuming there are no singular modes (i.e. embedded eigenvalues), we obtain the linear inviscid damping. We also identify the leading asymptotic terms of the velocity and obtain faster decay for the remainders. This is a joint work with Xiao Liu.
报告人简介: 曾崇纯，美国佐治亚理工学院教授，美国数学会会士。主要从事微分方程与动力系统研究，在Invent. Math., Comm. Pure. Appl. Math.等顶级学术刊物发表论文多篇，曾获得美国Career奖和Sloan基金，并多次主持美国国家自然科学基金，现任J. Differential Equation和Discrete Contin. Dyn. Syst.等杂志编委。
转载请注明来源
欢迎分享、点赞、在看🙂🙂🙂
如有需要推广的学术信息欢迎随时联系
识别下方二维码添加小编微信🤝🤝🤝
[09-19] 史宁中教授教研报告|如何在学习的过程中感悟数学的本质和教育的特色