Home /  Graduate Student Working Group: Spatially Quasi-Periodic Traveling Gravity-Capillary Waves

Seminar

Graduate Student Working Group: Spatially Quasi-Periodic Traveling Gravity-Capillary Waves March 17, 2021 (11:10 AM PDT - 12:10 PM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Xinyu Zhao (University of California, Berkeley)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Spatially Quasi-Periodic Traveling Gravity-Capillary Waves
Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: For linearized gravity-capillary waves in two dimensions, it is possible that two periodic waves with different wavenumbers travel at the same speed. If the ratio of their wave numbers is irrational, the motion of the superposition of the two waves is spatially quasi-periodic. I will present a numerical study of the spatially quasi-periodic gravity-capillary waves in deep water and introduce a conformal mapping formulation of the wave equations. In particular, I will show examples of both small amplitude waves and large amplitude overturning waves. This is a joint work with Jon Wilkening.

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Spatially Quasi-Periodic Traveling Gravity-Capillary Waves