Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
No Pure Capillary Solitary Waves Exist in 2D Finite Depth
Linear Instability in Fluid Free Surface Problems
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Ben Pineau (University of California, Berkeley)
Title: No Pure Capillary Solitary Waves Exist in 2D Finite Depth
Abstract: We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions (with appropriate averaged decay at infinity). This closes the existence/non-existence problem for solitary water waves in 2D, under the classical assumptions of incompressibility and irrotationality, and with the physical parameters being gravity, surface tension and the fluid depth.
Xiao Liu (Georgia Institute of technology)
Title: Linear Instability in Fluid Free Surface Problems
Abstract: We consider a class of shear flows in 2d capillary gravity water wave problem with flat bottom. We analyze in details the eigenvalue distribution of linearized system and the linear flow it generates. This is a joint work with Chongchun Zeng.
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