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• W2901792511 abstract "We study wave-current interactions in two-dimensional water flows of constant vorticity over a flat bed. For large-amplitude periodic traveling waves that propagate at the water surface in the same direction as the underlying current (downstream waves), we prove explicit uniform bounds for their amplitude. In particular, our estimates show that the maximum amplitude of the waves becomes vanishingly small as the vorticity increases without limit. We also prove that the downstream waves on a global bifurcating branch are never overhanging, and that their mass flux and Bernoulli constant are uniformly bounded." @default.
• W2901792511 created "2018-11-29" @default.
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• W2901792511 date "2018-11-26" @default.
• W2901792511 modified "2023-09-27" @default.
• W2901792511 title "Large-amplitude steady downstream water waves" @default.
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• W2901792511 hasPublicationYear "2018" @default.
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