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Seminar

Model problems in fluid dynamics: Steady gravity-capillary water waves with localized vorticity March 29, 2021 (08:30 AM PDT - 09:30 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Chongchun Zeng (Georgia Institute of Technology)
Description

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

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Abstract/Media

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

Abstract: We consider the 2-dim gravity-capillary water wave problem -- the free boundary problem of the Euler equation with gravity and surface tension -- and construct finite energy small amplitude steady wave solutions with nontrivial vorticity based on a bifurcation approach. The vorticity of these solutions are highly concentrated, including traveling waves with compactly supported small vorticity and smooth stationary waves with rapidly decaying vorticity and O(1) energy.

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