Two-dimensional stability of finite-amplitude gravity waves on water of finite depth with constant vorticity
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Publication:5231611
DOI10.1017/jfm.2017.603zbMath1421.76031OpenAlexW2764103427MaRDI QIDQ5231611
Kharif, Christian, Marc Francius
Publication date: 27 August 2019
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/jfm.2017.603
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Parallel shear flows in hydrodynamic stability (76E05)
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Cites Work
- Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- On the interaction of deep water waves and exponential shear currents
- Modulational instability in the Whitham equation with surface tension and vorticity
- Large-amplitude steady rotational water waves
- Vorticity effects on nonlinear wave–current interactions in deep water
- A non-local formulation of rotational water waves
- Interaction of finite-amplitude waves with vertically sheared current fields
- Free surface waves on shear currents with non-uniform vorticity: third-order solutions
- Steady Deep-Water Waves on a Linear Shear Current
- Instabilities of Waves on a Free Surface
- The Propagation of Nonlinear Wave Packets in a Shear Flow with a Free Surface
- Interaction of Water Waves and Currents
- Instabilities of finite-amplitude gravity waves on water of finite depth
- A Fourier approximation method for steady water waves
- The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics
- The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
- On the modulation of water waves on shear flows
- Steep gravity waves in water of arbitrary uniform depth
- Exact steady periodic water waves with vorticity
- The Boussinesq–Rayleigh approximation for rotational solitary waves on shallow water with uniform vorticity
- Periodic waves with constant vorticity in water of infinite depth
- Modulation of Gravity Waves with Shear in Water
- Gravity–capillary waves in finite depth on flows of constant vorticity
- Flow structure beneath rotational water waves with stagnation points
- Three-dimensional instabilities of periodic gravity waves in shallow water
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