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arXiv · 2104.07845

No pure capillary solitary waves exist in 2D finite depth

Mihaela Ifrim·Ben Pineau·Daniel Tataru·Mitchell A. Taylor
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Abstract

We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions. 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.

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Mihaela Ifrim, Ben Pineau, Daniel Tataru, Mitchell A. Taylor. 2021-04-16. No pure capillary solitary waves exist in 2D finite depth. https://arxiv.org/abs/2104.07845

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