Steady Water Waves

Groves, Mark D.

doi:10.2991/jnmp.2004.11.4.2

Cited by 61 publications

(43 citation statements)

References 61 publications

(54 reference statements)

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“…All of this work strongly used the assumption that the flow is irrotational, whereby ψ is a harmonic function inside the fluid. Some excellent modern surveys of (mostly) irrotational steady water waves are [79,71,40,48,32].…”

Section: D Periodic Steady Water Wavesmentioning

confidence: 99%

Steady water waves

Strauss

2010

Bull. Amer. Math. Soc.

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Section: D Periodic Steady Water Wavesmentioning

confidence: 99%

Steady water waves

Strauss

2010

Bull. Amer. Math. Soc.

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“…Of particular mathematical interest is the so-called wave of greatest height with a sharp crest of interior angle 120 degrees. The paper [21] describes much of that theory; see also [14] for a general overview of the water-wave problem.…”

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confidence: 99%

Steady Water Waves with Multiple Critical Layers

Ehrnström¹,

Escher²,

Wahlén³

2011

SIAM J. Math. Anal.

149

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“…This success is strongly indebted to the fact that, for irrotational flows, ψ is a harmonic function, which allows the use of tools such as conformal mappings. Some excellent surveys are [16,34,60,67,71].…”

Section: Traveling Waves and The Bifurcation Conditionmentioning

confidence: 99%

Pressure Transfer Functions for Interfacial Fluids Problems

Chen¹,

Hur²,

Walsh³

2016

J. Math. Fluid Mech.

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We make a consistent derivation, from the governing equations, of the pressure transfer function in the smallamplitude Stokes wave regime and the hydrostatic approximation in the small-amplitude solitary water wave regime, in the presence of a background shear flow. The results agree with the well-known formulae in the zero vorticity case, but they incorporate the effects of vorticity through solutions to the Rayleigh equation. We extend the results to permit continuous density stratification and to internal waves between two constant-density fluids. Several examples are discussed.Mathematics Subject Classification. 35R35, 76B15, 76B47, 76B70.

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Steady Water Waves

Cited by 61 publications

References 61 publications

Steady water waves

Steady water waves

Steady Water Waves with Multiple Critical Layers

Pressure Transfer Functions for Interfacial Fluids Problems

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