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- W818524674 abstract "We show that a spatially periodic solution to the irrotational two-dimensional gravity water wave problem, with the property that the horizontal velocity component at the surface, as well as the wave profile is symmetric, necessarily defines a traveling wave. The proof makes use of maximum principles for harmonic functions and structural properties of the governing equations for nonlinear water waves." @default.
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- W818524674 date "2015-11-01" @default.
- W818524674 modified "2023-09-24" @default.
- W818524674 title "Symmetric irrotational water waves are traveling waves" @default.
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- W818524674 doi "https://doi.org/10.1016/j.jde.2015.06.025" @default.
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