No Pure Capillary Solitary Waves Exist in 2D Finite Depth.

Mihaela Ifrim,Ben Pineau,Daniel Tataru,Mitchell A. Taylor

SIAM Journal on Mathematical Analysis（2022）

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摘要

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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关键词

capillary waves,solitary waves,water waves,holomorphic coordinates

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