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On the regularity of the Green–Naghdi equations for a rotating shallow fluid layer

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The Theory of Shells and Plates
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Fully nonlinear shallow water waves simulation using Green-Naghdi theory
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Green-Naghdi theory, part A: Green-Naghdi (GN) equations for shallow water waves
inferredcites →https://doi.org/10.1007/s40722-014-0009-8openalex-snapshot
High-level Green–Naghdi wave models for nonlinear wave transformation in three dimensions
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Approximate methods of higher analysis
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The Green-Naghdi Theory Of Fluid Sheets For Shallow-Water Waves
inferredcites →https://doi.org/10.1016/j.coastaleng.2013.10.010openalex-snapshot
Application of higher-level GN theory to some wave transformation problems
inferredcites →https://doi.org/10.1016/j.jcp.2006.01.011openalex-snapshot
Revisiting the Rossby–Haurwitz wave test case with contour advection
inferredcites →https://doi.org/10.1016/j.jcp.2009.11.021openalex-snapshot
A numerical scheme for the Green–Naghdi model
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The combined Lagrangian advection method
inferredcites →https://doi.org/10.1016/j.jcp.2010.06.009openalex-snapshot
A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotating Green–Naghdi shallow water equations
inferredcites →https://doi.org/10.1016/j.jcp.2010.11.015openalex-snapshot
A splitting approach for the fully nonlinear and weakly dispersive Green–Naghdi model
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Dynamics and circulation regimes of terrestrial planets
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Comparison of variational balance models for the rotating shallow water equations
inferredcites →https://doi.org/10.1017/s0022112004002058openalex-snapshot
Optimal potential vorticity balance of geophysical flows
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The transition from geostrophic to stratified turbulence
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Weakly dispersive nonlinear gravity waves
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The stability of filamentary vorticity in two-dimensional geophysical vortex-dynamics models
inferredcites →https://doi.org/10.1017/s0956792513000168openalex-snapshot
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
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Contribution à l'étude des écoulements permanents et variables dans les canaux
inferredcites →https://doi.org/10.1063/1.166002openalex-snapshot
The coherent structures of shallow-water turbulence: Deformation-radius effects, cyclone/anticyclone asymmetry and gravity-wave generation
inferredcites →https://doi.org/10.1063/1.3056800openalex-snapshot
Approximate Methods of Higher Analysis
inferredcites →https://doi.org/10.1080/00221686.2015.1012655openalex-snapshot
“Boussinesq- and Serre-type models with improved linear dispersion characteristics: applications”
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XXXII. On waves
inferredcites →https://doi.org/10.1098/rspa.1967.0119openalex-snapshot
Variational methods and applications to water waves
inferredcites →https://doi.org/10.1098/rspa.1974.0072openalex-snapshot
On the theory of water waves
inferredcites →https://doi.org/10.1098/rspa.1976.0011openalex-snapshot
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The atmospheric ocean: eddies and jets in the Antarctic Circumpolar Current
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Hierarchies of Balance Conditions for thef-Plane Shallow-Water Equations
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FIFTH ORDER GRAVITY WAVE THEORY

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4693077openalex-extracted
Numerical Treatments of Green-Naghdi Model in Non-Rotating Shallow Fluid Layer
inferred← citeshttps://doi.org/10.2139/ssrn.4821084openalex-extracted
Non-Hydrostatic Shallow Flow Model of Particle Tracking in Basin with Various Bathymetry
inferred← citeshttps://doi.org/10.1007/978-3-031-70660-8_9openalex-snapshot
Derivation of Stochastic Models for Coastal Waves
inferred← citeshttps://doi.org/10.1007/s00605-022-01772-4openalex-snapshot
A shallow water modeling with the Coriolis effect coupled with the surface tension
inferred← citeshttps://doi.org/10.1016/j.euromechflu.2025.204350openalex-snapshot
Non-hydrostatic shallow flow model of particle tracking in basin with various bathymetry
inferred← citeshttps://doi.org/10.1016/j.jcpx.2022.100109openalex-snapshot
EPIC: The Elliptical Parcel-In-Cell method
inferred← citeshttps://doi.org/10.1017/jfm.2020.484openalex-snapshot
On the regularity of the Green–Naghdi equations – CORRIGENDUM
inferred← citeshttps://doi.org/10.1017/jfm.2020.487openalex-snapshot
The validity of two-dimensional models of a rotating shallow fluid layer
inferred← citeshttps://doi.org/10.1017/jfm.2023.746openalex-snapshot
The magnetic non-hydrostatic shallow-water model
inferred← citeshttps://doi.org/10.1063/5.0057707openalex-snapshot
Balance in non-hydrostatic rotating shallow-water flows
inferred← citeshttps://doi.org/10.2139/ssrn.5759448openalex-snapshot
Impacts of effective stress on predictions of non-hydrostatic shallow flow model in basins with different bathymetry
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