Extrema of the dynamic pressure in a solitary wave

François Genoud

doi:10.1016/j.na.2017.01.009

Extrema of the dynamic pressure in a solitary wave

François Genoud

Analysis

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5 Citations (Scopus)

Abstract

We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.

Original language	English
Pages (from-to)	65-71
Number of pages	7
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	155
DOIs	https://doi.org/10.1016/j.na.2017.01.009
Publication status	Published - 2017

Keywords

Dynamic pressure
Incompressible Euler equation
Solitary waves

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10.1016/j.na.2017.01.009

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title = "Extrema of the dynamic pressure in a solitary wave",

abstract = "We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.",

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AU - Genoud, François

PY - 2017

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N2 - We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.

AB - We study the dynamic pressure in an irrotational solitary wave propagating at the surface of water over a flat bed, under the influence of gravity. We consider the nonlinear regime, that is, the case of waves of moderate to large amplitude. We prove that, independently of the wave amplitude, the maximum of the dynamic pressure is attained at the wave crest, while its minimum is attained at infinity.

KW - Dynamic pressure

KW - Incompressible Euler equation

KW - Solitary waves

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U2 - 10.1016/j.na.2017.01.009

DO - 10.1016/j.na.2017.01.009

M3 - Article

AN - SCOPUS:85012298871

SN - 0362-546X

VL - 155

SP - 65

EP - 71

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

ER -

Extrema of the dynamic pressure in a solitary wave

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Keywords

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