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No pure capillary solitary waves exist in 2D finite depth
Published 16 Apr 2021 in math.AP | (2104.07845v1)
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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