Hamiltonian long-wave approximations of water waves with constant vorticity
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Publication:637387
DOI10.1016/j.physleta.2007.12.018zbMath1220.76019OpenAlexW2006168859MaRDI QIDQ637387
Publication date: 2 September 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.12.018
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
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Cites Work
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- Numerical simulation of gravity waves
- The trajectories of particles in Stokes waves
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- Uni-directional waves over slowly varying bottom. I: Derivation of a KdV- type of equation
- Hamiltonian long-wave approximations to the water-wave problem
- The rigorous approximation of long-wavelength capillary-gravity waves
- A Hamiltonian formulation of water waves with constant vorticity
- Long wave approximations for water waves
- The long-wave limit for the water wave problem I. The case of zero surface tension
- Hamiltonian perturbation theory and water waves
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- Finite-amplitude solitary waves at the interface between two homogeneous fluids
- A second-order solution for the solitary wave in a rotational flow
- Steep solitary waves in water of finite depth with constant vorticity
- A Modern Introduction to the Mathematical Theory of Water Waves
- Exact steady periodic water waves with vorticity
- The Boussinesq–Rayleigh approximation for rotational solitary waves on shallow water with uniform vorticity
- Particle trajectories in solitary water waves
- Long Non‐Linear Waves in Fluid Flows
- Shallow water waves on shear flows
- Hamiltonian long‐wave expansions for free surfaces and interfaces
- The solitary wave on a stream with an arbitrary distribution of vorticity