Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves

DOI10.1017/jfm.2022.114zbMath1501.76012arXiv2106.09495OpenAlexW4221134016WikidataQ115563673 ScholiaQ115563673MaRDI QIDQ5067081

Josh Shelton, Philippe H. Trinh

Publication date: 1 April 2022

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09495

zbMATH Keywords

analytic continuationStokes wavecomplex-valued singularitysurface gravity-capillary wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (3)

Exponential asymptotics and the generation of free-surface flows by submerged line vortices ⋮ Exponential asymptotics for steady parasitic capillary ripples on steep gravity waves – ERRATUM ⋮ The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics

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