Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows

DOI10.1007/978-3-319-31462-4_1zbMath1354.76024OpenAlexW2504137946MaRDI QIDQ2956397

Adrian Constantin

Publication date: 17 January 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31462-4_1

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Euler equations (35Q31)

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Irrotational two-dimensional free-surface steady water flows over a flat bed with underlying currents ⋮ Nonlinear water waves: introduction and overview ⋮ The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times ⋮ Extrema of the dynamic pressure in an irrotational Stokes wave with underlying currents and infinite depth ⋮ Global existence and finite-time blow-up for a nonlinear nonlocal evolution equation ⋮ On the construction of traveling water waves with constant vorticity and infinite boundary ⋮ Extreme water-wave profile recovery from pressure measurements at the seabed ⋮ On some properties of velocity field for two dimensional rotational steady water waves

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