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Nonlinear water waves: introduction and overview (Q4561751)

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scientific article; zbMATH DE number 6993063

Language	Label	Description	Also known as
English	Nonlinear water waves: introduction and overview	scientific article; zbMATH DE number 6993063

Statements

scholarly article

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Nonlinear water waves: introduction and overview (English)

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Adrian Constantin

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Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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publication date

13 December 2018

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zbMATH Keywords

water flows

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currents

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waves

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1098/rsta.2017.0310

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On the Stokes conjecture for the wave of extreme form

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The trajectories of particles in Stokes waves

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Exact Travelling Periodic Water Waves in Two-Dimensional Irrotational Flows

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Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

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A Modern Introduction to the Mathematical Theory of Water Waves

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Wave height estimates from pressure and velocity data at an intermediate depth in the presence of uniform currents

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New exact relations for steady irrotational two-dimensional gravity and capillary surface waves

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Existence and amplitude bounds for irrotational water waves in finite depth

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Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom

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Steady water waves

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Dispersion relation for water waves with non-constant vorticity

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Exact steady periodic water waves with vorticity

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Global bifurcation of steady gravity water waves with critical layers

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Analyticity of periodic traveling free surface water waves with vorticity

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Analyticity of Rotational Water Waves

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Regularity of traveling periodic stratified water waves with vorticity

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Symmetry of steady periodic gravity water waves with vorticity

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Steady water waves with a critical layer

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Some new gravity waves in water of finite depth

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A variational principle for waves of infinite depth

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Some geometric and analytic properties of solutions of Bernoulli free-boundary problems

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Asymptotic expansions for steady periodic water waves in flows with constant vorticity

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Capturing the flow beneath water waves

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Relating the Bottom Pressure and the Surface Elevation in the Water Wave Problem

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New exact relations for easy recovery of steady wave profiles from bottom pressure measurements

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Recovery of steady periodic wave profiles from pressure measurements at the bed

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Pressure beneath a Stokes wave

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Bound on the slope of steady water waves with favorable vorticity

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On the existence of extreme waves and the Stokes conjecture with vorticity

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The dynamic pressure in deep-water extreme Stokes waves

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Prediction of the free-surface elevation for rotational water waves using the recovery of pressure at the bed

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Dynamic-pressure distributions under Stokes waves with and without a current

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An exact solution for equatorial geophysical water waves with an underlying current

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Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates

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On three-dimensional Gerstner-like equatorial water waves

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Application of the ideas and techniques of classical fluid mechanics to some problems in physical oceanography

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On the short-wavelength stabilities of some geophysical flows

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The dynamics of waves interacting with the Equatorial Undercurrent

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On periodic geophysical water flows with discontinuous vorticity in the equatorial <i>f</i> -plane approximation

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Recent advances on the global regularity for irrotational water waves

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Propagation of very long water waves, with vorticity, over variable depth, with applications to tsunamis

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Waves in shallow water, with emphasis on the tsunami of 2004

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KdV theory and the Chilean tsunami of 1960

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Shallow water equations for equatorial tsunami waves

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Solitary interfacial hydroelastic waves

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Modelling nonlinear hydroelastic waves

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Evolution of statistically inhomogeneous degenerate water wave quartets

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1098/RSTA.2017.0310

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Sitelinks

Mathematics(1 entry)

mardi Publication:4561751

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