An existence theory for small-amplitude doubly periodic water waves with vorticity
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Publication:2192390
DOI10.1007/s00205-020-01550-2zbMath1446.35113arXiv1908.02655OpenAlexW3102077003MaRDI QIDQ2192390
Publication date: 17 August 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.02655
Asymptotic behavior of solutions to PDEs (35B40) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Euler equations (35Q31)
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Cites Work
- Beltrami fields with a nonconstant proportionality factor are rare
- A dimension-breaking phenomenon for water waves with weak surface tension
- Asymmetrical three-dimensional travelling gravity waves
- A bifurcation theory for three-dimensional oblique travelling gravity-capillary water waves
- On the existence of force-free magnetic fields with small nonconstant \(\alpha\) in exterior domains
- Traveling gravity water waves with critical layers
- A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension
- Steady water waves with multiple critical layers: interior dynamics
- Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
- A variational principle for three-dimensional water waves over Beltrami flows
- Trimodal steady water waves
- Steady stratified periodic gravity waves with surface tension. I: Local bifurcation.
- Steady stratified periodic gravity waves with surface tension. II: Global bifurcation.
- Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
- A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
- Vorticity and Incompressible Flow
- Fourier Analysis and Nonlinear Partial Differential Equations
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Steady Water Waves with Multiple Critical Layers
- Three-Dimensional Steady Water Waves Generated by Partially Localized Pressure Disturbances
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Steady Periodic Capillary‐Gravity Waves with Vorticity
- Small divisor problem in the theory of three-dimensional water gravity waves
- Three-dimensional, nonlinear wave interaction in water of constant depth
- On the linear force-free fields in bounded and unbounded three-dimensional domains
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- Edge waves along a sloping beach
- On three-dimensional Gerstner-like equatorial water waves
- A dimension–breaking phenomenon in the theory of steady gravity–capillary water waves
- Non-existence of three-dimensional travelling water waves with constant non-zero vorticity
- Three‐dimensional internal gravity‐capillary waves in finite depth
- Three‐dimensional travelling gravity‐capillary water waves
- On the existence of non-linear force-free fields in three-dimensional domains
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