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Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation

https://doi.org/10.1063/1.3053183
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Hamiltonian structure for two-dimensional extended Green–Naghdi equations
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On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations
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Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations
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New Form of the Hamiltonian Equations for the Nonlinear Water-Wave Problem, Based on a New Representation of the DTN Operator, and Some Applications
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Discrete Asymptotic Equations for Long Wave Propagation
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Error Estimates for Galerkin Approximations of the Serre Equations
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Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models
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Congested Shallow Water Model: Trapped Air Pockets Modeling
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A Numerical Method for a Shallow Water Model with Dispersive Source Terms
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Existence of a regular solution for 1D Green–Naghdi equations with surface tension at a large time instant
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On the dynamics of floating structures
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Variations of wave energy power in shoaling zone of Benin coastal zone
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Solitary waves of the degenerate rotation-two-component Camassa–Holm system
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Energy equation for certain approximate models of long-wave hydrodynamics
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A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
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A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
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Symmetries, Conservation Laws, Invariant Solutions and Difference Schemes of the One-dimensional Green-Naghdi Equations
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Roughness effect on Neumann boundary condition
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Generalised Serre–Green–Naghdi equations for open channel and for natural river hydraulics
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An energy-consistent depth-averaged Euler system: Derivation and properties
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Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart
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Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations
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Large-time existence for one-dimensional Green-Naghdi equations with vorticity
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A combined finite volume - finite element scheme for a dispersive shallow water system
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Full Justification for the Extended Green–Naghdi System for an Uneven Bottom with/without Surface Tension
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Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations
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Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking
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A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows
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Numerical simulation of strongly nonlinear and dispersive waves using a Green-Naghdi model
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Fully nonlinear weakly dispersive modelling of wave transformation, breaking and runup
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The finite energy method for compressible fluids. The Navier-Stokes-Korteweg model
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Adaptive modeling of shallow fully nonlinear gravity waves
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Numerical simulation of nonlinear long waves interacting with arrays of emergent cylinders
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Error estimates for Galerkin approximations of the Serre equations
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A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves
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UHAINA : A parallel high performance unstructured adaptive near-shore wave model
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Congested shallow water model: on floating body
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Full dispersion models in coastal oceanography
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Modélisation et analyse des interactions entre écoulements à surface libre et objets flottants
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Modelling, justification and mathematical analysis of models in oceanography
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Numerical analysis and discrete approximation of a dispersive shallow water model
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Role of infragravity waves on port agitation during storm events
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Coupling methodes of phase-resolving coastal wave models
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Free surface flow simulation in estuarine and coastal environments : numerical development and application on unstructured meshes
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Modélisation des tsunamis : propagation et impact
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Etude de la dynamique instationnaire des vagues et des circulations associées en milieu littoral
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SERRE GREEN-NAGHDI MODELLING OF WAVE TRANSFORMATION BREAKING AND RUN-UP USING A HIGH-ORDER FINITE-VOLUME FINITE-DIFFERENCE SCHEME
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FULLY NONLINEAR BOUSSINESQ-TYPE MODELLING OF INFRAGRAVITY WAVE TRANSFORMATION OVER A LOW-SLOPING BEACH
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