Approximations of steady periodic water waves in flows with constant vorticity
From MaRDI portal
Publication:895245
DOI10.1016/j.nonrwa.2015.04.003zbMath1330.76020arXiv1503.04032OpenAlexW2097069240WikidataQ58869917 ScholiaQ58869917MaRDI QIDQ895245
Otmar Scherzer, Adrian Constantin, Konstantinos Kalimeris
Publication date: 26 November 2015
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.04032
Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Pressure transfer functions for interfacial fluids problems ⋮ Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru. ⋮ Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation ⋮ Analytical approximation and numerical simulations for periodic travelling water waves ⋮ Asymptotic expansions for steady periodic water waves in flows with constant vorticity ⋮ Explicit solutions for a long-wave model with constant vorticity ⋮ A numerical continuation approach for computing water waves of large wave height ⋮ On Recent Numerical Methods for Steady Periodic Water Waves ⋮ Large-amplitude steady downstream water waves ⋮ Numerical approximation of water waves through a deterministic algorithm ⋮ Stationary water waves on rotational flows of two vortical layers ⋮ On rotational flows with discontinuous vorticity beneath steady water waves near stagnation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the symmetry of periodic gravity water waves with vorticity.
- Recovery of the wave profile for irrotational periodic water waves from pressure measurements
- Analyticity of periodic traveling free surface water waves with vorticity
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- The trajectories of particles in Stokes waves
- Large-amplitude steady rotational water waves
- Steady water waves with a critical layer
- Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
- Global bifurcation of steady gravity water waves with critical layers
- Pressure beneath a traveling wave with constant vorticity
- Symmetry of steady periodic gravity water waves with vorticity
- An experimental study of two-dimensional surface water waves propagating on depth-varying currents. Part 1. Regular waves
- Recovering the Water-Wave Profile from Pressure Measurements
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Lagrangian experiment and solution for irrotational finite-amplitude progressive gravity waves at uniform depth
- Some new gravity waves in water of finite depth
- Wave–current interactions: an experimental and numerical study. Part 2. Nonlinear waves
- Effect of vorticity on steady water waves
- Exact steady periodic water waves with vorticity
- Symmetry of steady periodic surface water waves with vorticity
- Pressure beneath a Stokes wave
- The flow beneath a periodic travelling surface water wave
- A Penalization Method for Calculating the Flow Beneath Traveling Water Waves of Large Amplitude
- Recovery of steady periodic wave profiles from pressure measurements at the bed
- New exact relations for easy recovery of steady wave profiles from bottom pressure measurements
This page was built for publication: Approximations of steady periodic water waves in flows with constant vorticity
