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• W2337642212 abstract "We consider two- and three-dimensional gravity and gravity-capillary solitary water waves in infinite depth. Assuming algebraic decay rates for the free surface and velocity potential, we show that the velocity potential necessarily behaves like a at infinity and obtain a related asymptotic formula for the free surface. We then prove an identity relating the dipole moment to the kinetic energy. This implies that the leading-order terms in the asymptotics are nonvanishing and in particular that the angular momentum is infinite. Lastly we prove a related integral identity which rules out waves of pure elevation or pure depression." @default.
• W2337642212 created "2016-06-24" @default.
• W2337642212 creator A5017484832 @default.
• W2337642212 date "2016-04-04" @default.
• W2337642212 modified "2023-09-27" @default.
• W2337642212 title "Integral and asymptotic properties of solitary waves in deep water" @default.
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• W2337642212 hasPublicationYear "2016" @default.
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