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Long wave expansions for water waves over random topography

https://doi.org/10.1088/0951-7715/21/9/014

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What this work says

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

inferredcites →https://doi.org/10.1002/1097-0312(200012)53:12<1475::aid-cpa1>3.0.co;2-vopenalex-snapshot

The long-wave limit for the water wave problem I. The case of zero surface tension

inferredcites →https://doi.org/10.1002/cpa.20098openalex-snapshot

Hamiltonian long‐wave expansions for free surfaces and interfaces

inferredcites →https://doi.org/10.1002/sapm198368289openalex-snapshot

Gravity Waves in a Channel with a Rough Bottom

inferredcites →https://doi.org/10.1006/jcph.1993.1164openalex-snapshot

Numerical Simulation of Gravity Waves

inferredcites →https://doi.org/10.1007/bfb0079129openalex-snapshot

The central limit theorem and ε-entropy

inferredcites →https://doi.org/10.1007/s00205-005-0378-1openalex-snapshot

Long Wave Approximations for Water Waves

inferredcites →https://doi.org/10.1007/s00222-007-0088-4openalex-snapshot

Large time existence for 3D water-waves and asymptotics

inferredcites →https://doi.org/10.1007/s00332-002-0466-4openalex-snapshot

Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory

inferredcites →https://doi.org/10.1017/s002211200200280xopenalex-snapshot

Weakly nonlinear surface waves over a random seabed

inferredcites →https://doi.org/10.1017/s0022112071000338openalex-snapshot

On wave scattering by random inhomogeneities, with application to the theory of weak bores

inferredcites →https://doi.org/10.1051/m2an:2007041openalex-snapshot

Influence of bottom topography on long water waves

inferredcites →https://doi.org/10.1063/1.1524189openalex-snapshot

Apparent diffusion due to topographic microstructure in shallow waters

inferredcites →https://doi.org/10.1063/1.2196087openalex-snapshot

Eddy viscosity for gravity waves propagating over turbulent surfaces

inferredcites →https://doi.org/10.1080/03605308508820396openalex-snapshot

An existence theory for water waves and the boussinesq and korteweg-devries scaling limits

inferredcites →https://doi.org/10.1088/0951-7715/5/2/009openalex-snapshot

Nonlinear modulation of gravity waves: a rigorous approach

inferredcites →https://doi.org/10.1098/rspa.2004.1367openalex-snapshot

Hamiltonian long–wave expansions for water waves over a rough bottom

inferredcites →https://doi.org/10.1103/physreve.66.016611openalex-snapshot

Surface gravity waves over a two-dimensional random seabed

inferredcites →https://doi.org/10.1103/physreve.68.026314openalex-snapshot

Localization of harmonics generated in nonlinear shallow water waves

inferredcites →https://doi.org/10.1103/physreve.70.016302openalex-snapshot

Evolution of solitons over a randomly rough seabed

inferredcites →https://doi.org/10.1103/physreve.76.046311openalex-snapshot

Optimal Boussinesq model for shallow-water waves interacting with a microstructure

inferredcites →https://doi.org/10.1137/030602691openalex-snapshot

Stiff Microscale Forcing and Solitary Wave Refocusing

inferredcites →https://doi.org/10.1137/060676064openalex-snapshot

Effective Behavior of Solitary Waves over Random Topography

inferredcites →https://doi.org/10.1137/s0036139903422371openalex-snapshot

Time Reversal for Dispersive Waves in Random Media

inferredcites →https://doi.org/10.1137/s0036141004444202openalex-snapshot

Corrections to the KdV Approximation for Water Waves

inferredcites →https://doi.org/10.2977/prims/1195184016openalex-snapshot

Gravity Waves on the Free Surface of an Incompressible Perfect Fluid of Finite Depth

inferredcites →https://doi.org/10.2996/kmj/1138846576openalex-snapshot

Functional central limit theorems for strictly stationary processes satisfying the strong mixing condition

What points at this work

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

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Approximation of (Some) Random Fput Lattices by Kdv Equations

inferred← citeshttps://doi.org/10.1007/978-3-030-67845-6_4openalex-snapshot

The Water Wave Problem and Hamiltonian Transformation Theory

inferred← citeshttps://doi.org/10.1007/s40072-016-0089-7openalex-snapshot

Generalized regularized long wave equation with white noise dispersion

inferred← citeshttps://doi.org/10.1016/j.apor.2022.103122openalex-snapshot

Assessment of a porous viscoelastic model for wave attenuation in ice-covered seas

inferred← citeshttps://doi.org/10.1016/j.dsr2.2018.11.004openalex-snapshot

Surface waves over currents and uneven bottom

inferred← citeshttps://doi.org/10.1016/j.euromechflu.2011.09.008openalex-snapshot

Hamiltonian higher-order nonlinear Schrödinger equations for broader-banded waves on deep water

inferred← citeshttps://doi.org/10.1016/j.euromechflu.2019.06.002openalex-snapshot

Dispersion and attenuation in a porous viscoelastic model for gravity waves on an ice-covered ocean

inferred← citeshttps://doi.org/10.1016/j.jcp.2009.08.015openalex-snapshot

Numerical simulation of three-dimensional nonlinear water waves

inferred← citeshttps://doi.org/10.1016/j.oceaneng.2013.11.013openalex-snapshot

Modeling of tsunami generation and propagation under the effect of stochastic submarine landslides and slumps spreading in two orthogonal directions

inferred← citeshttps://doi.org/10.1016/j.oceaneng.2015.08.064openalex-snapshot

Near- and far-field tsunami amplitudes by a moving curvilinear stochastic submarine slide shape based on linearized water wave theory

inferred← citeshttps://doi.org/10.1016/j.physd.2022.133558openalex-snapshot

Hamiltonian model for coupled surface and internal waves over currents and uneven bottom

inferred← citeshttps://doi.org/10.1016/j.physd.2024.134154openalex-snapshot

Approximation of (some) random FPUT lattices by KdV equations

inferred← citeshttps://doi.org/10.1017/s0022112009991248openalex-snapshot

Water waves over a random bottom

inferred← citeshttps://doi.org/10.1098/rspa.2022.0050openalex-snapshot

Hamiltonian formulation of the stochastic surface wave problem

inferred← citeshttps://doi.org/10.1098/rsta.2017.0091openalex-snapshot

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

inferred← citeshttps://doi.org/10.1103/physrevlett.107.184504openalex-snapshot

Long Wave Run-Up on Random Beaches

inferred← citeshttps://doi.org/10.1142/s1793431117500051openalex-snapshot

Tsunami Generation and Propagation by a Curvilinear Stochastic Spreading Seismic Faulting in Linearized Water Wave Theory

inferred← citeshttps://doi.org/10.1155/2014/874230openalex-snapshot

Three-Dimensional Modeling of Tsunami Generation and Propagation under the Effect of Stochastic Seismic Fault Source Model in Linearized Shallow-Water Wave Theory

inferred← citeshttps://doi.org/10.19026/rjaset.7.765openalex-snapshot

Linearized Shallow-water Wave Theory of Tsunami Generation and Propagation by Three-dimensional Stochastic Seismic Bottom Topography

inferred← citeshttps://doi.org/10.3390/jmse12040664openalex-snapshot

Physical Experimental Study on the Wave Reflection and Run-Up of a New Ecological Hollow Cube

inferred← citeshttps://doi.org/10.3934/dcds.2019129openalex-snapshot

Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves

inferred← citeshttps://doi.org/10.70675/146e6aafz0432z49d1zb67az358f0ba66147openalex-snapshot

Analyse d'équations dispersives avec modulation stochastique

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