On the maximal horizontal surface velocity for a rotational water wave near breaking

DOI10.1007/s10231-015-0536-5zbMath1348.35176OpenAlexW2186348856MaRDI QIDQ325951

Calin Iulian Martin

Publication date: 11 October 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-015-0536-5

zbMATH Keywords

time evolutionabsolutely continuous functionHopf's maximum principlerotational surface gravity waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Maximum principles in context of PDEs (35B50) Free boundary problems for PDEs (35R35) Euler equations (35Q31)

Related Items (3)

Dynamic-pressure distributions under Stokes waves with and without a current ⋮ On the time evolution of the velocity in equatorial ocean waves approaching breaking ⋮ On the breaking inception of unsteady water wave packets evolving in the presence of constant vorticity

Cites Work

• Unnamed Item
• Wave breaking for nonlinear nonlocal shallow water equations
• Elliptic partial differential equations of second order
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• The time evolution of the maximal horizontal surface fluid velocity for an irrotational wave approaching breaking
• Steep gravity waves in water of arbitrary uniform depth
• A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude
• The dynamics of waves interacting with the Equatorial Undercurrent

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