On free surfaces in hydrostatic flows

DOI10.1080/00036811.2011.604850zbMath1296.35131OpenAlexW1971435507WikidataQ58189324 ScholiaQ58189324MaRDI QIDQ4908192

David Henry

Publication date: 4 March 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.604850

zbMATH Keywords

laminar flowsfree surfacetraveling wavehydrostatic limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35) Traveling wave solutions (35C07) Euler equations (35Q31)

Cites Work

• On hydrostatic free surface problems
• Pressure in a deep-water Stokes wave
• Pressure beneath a solitary water wave: mathematical theory and experiments
• Steady periodic water waves with constant vorticity: Regularity and local bifurcation
• Two-dimensionality of gravity water flows of constant nonzero vorticity beneath a surface wave train
• The trajectories of particles in Stokes waves
• Steady water waves with a critical layer
• Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
• Stokes waves
• A variational principle for waves of infinite depth
• Steady periodic waves bifurcating for fixed-depth rotational flows
• Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth
• A Modern Introduction to the Mathematical Theory of Water Waves
• Exact steady periodic water waves with vorticity

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