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Two-dimensional flexural-gravity waves of finite amplitude in deep water
Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet - which may be viewed as modelling an ice sheet - are considered in deep water. The non-linear elastic model is based on the special...
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Two-dimensional flexural-gravity waves of finite amplitude in deep water
Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet - which may be viewed as modelling an ice sheet - are considered in deep water. The non-linear elastic model is based on the special...
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Asymmetric gravity-capillary solitary waves on deep water

We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation...

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Asymmetric gravity-capillary solitary waves on deep water

We present new families of gravity - capillary solitary waves propagating on the surface of a two-dimensional deep fluid. These spatially localised travelling-wave solutions are non-symmetric in the wave propagation...

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A quasi-planar model for gravity-capillary interfacial waves in deep water
A dynamical model equation for interfacial gravity-capillary (GC) waves between two semi-infinite fluid layers, with a lighter fluid lying above a heavier one, is derived. The model proposed is based on the fourth-order...
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Hydroelastic solitary waves in deep water
The problem of waves propagating on the surface of a two-dimensional ideal fluid of infinite depth bounded above by an elastic sheet is studied with asymptotic and numerical methods. We use a nonlinear elastic model that has...
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Exact free surfaces in constant vorticity flows
Vera Hur, Miles Wheeler
Aug 01, 2020

We present an exact solution for periodic travelling waves in two-dimensional, infinitely deep and constant vorticity flows, in the absence of the effects of gravity or surface tension. The shape of the free surface is the...

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Exact free surfaces in constant vorticity flows
Vera Hur, Miles Wheeler
Aug 01, 2020

We present an exact solution for periodic travelling waves in two-dimensional, infinitely deep and constant vorticity flows, in the absence of the effects of gravity or surface tension. The shape of the free surface is the...

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Hydroelastic solitary waves in deep water
The problem of waves propagating on the surface of a two-dimensional ideal fluid of infinite depth bounded above by an elastic sheet is studied with asymptotic and numerical methods. We use a nonlinear elastic model that has...
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A quasi-planar model for gravity-capillary interfacial waves in deep water
A dynamical model equation for interfacial gravity-capillary (GC) waves between two semi-infinite fluid layers, with a lighter fluid lying above a heavier one, is derived. The model proposed is based on the fourth-order...
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Multilump symmetric and nonsymmetric gravity-capillary solitary waves in deep water

Multilump gravity-capillary solitary waves propagating in a fluid of infinite depth are computed numerically. The study is based on a weakly nonlinear and dispersive partial differential equation (PDE) with weak variations...
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Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth

This work is concerned with flexural-gravity solitary waves on water of finite depth. The deformation of the elastic sheet is modelled based on the Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypotheses....

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Computation of three-dimensional flexural-gravity solitary waves in arbitrary depth
Fully-localised solitary waves propagating on the surface of a three-dimensional ideal fluid of arbitrary depth, and bounded above by an elastic sheet that resists flexing, are computed. The cases of shallow and deep water are...
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Steady dark solitary flexural gravity waves
The nonlinear Schrödinger (NLS) equation describes the modulational limit of many surface water wave problems. Dark solitary waves of the NLS equation asymptote to a constant in the far field and have a localized decrease to...
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Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field
In this work we consider two-dimensional capillary–gravity waves propagating under the influence of a vertical electric field on a dielectric of finite depth bounded above by a perfectly conducting and hydrodynamically passive...
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Computation of three-dimensional flexural-gravity solitary waves in arbitrary depth
Fully-localised solitary waves propagating on the surface of a three-dimensional ideal fluid of arbitrary depth, and bounded above by an elastic sheet that resists flexing, are computed. The cases of shallow and deep water are...
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Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth

This work is concerned with flexural-gravity solitary waves on water of finite depth. The deformation of the elastic sheet is modelled based on the Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypotheses....

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Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers.
We present a model for capillary-scale objects that bounce on a fluid bath as they also translate horizontally. The rebounding objects are hydrophobic spheres that impact the interface of a bath of incompressible fluid whose...
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Quasi-normal free-surface impacts, capillary rebounds and application to Faraday walkers.
We present a model for capillary-scale objects that bounce on a fluid bath as they also translate horizontally. The rebounding objects are hydrophobic spheres that impact the interface of a bath of incompressible fluid whose...
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Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field
In this work we consider two-dimensional capillary–gravity waves propagating under the influence of a vertical electric field on a dielectric of finite depth bounded above by a perfectly conducting and hydrodynamically passive...
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Numerical study of interfacial solitary waves propagating under an elastic sheet
Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two...
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