Trimodal steady water waves

DOI10.1007/s00205-014-0812-3zbMath1441.35192arXiv1311.0036OpenAlexW2074135926MaRDI QIDQ2340939

Erik Wahlén, Mats Ehrnström

Publication date: 21 April 2015

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0036

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Free-surface potential flows for incompressible inviscid fluids (76B07) Blow-up in context of PDEs (35B44)

Related Items (11)

A numerical continuation approach for computing water waves of large wave height ⋮ Small-amplitude steady water waves with critical layers: non-symmetric waves ⋮ Numerical bifurcation for the capillary Whitham equation ⋮ An existence theory for small-amplitude doubly periodic water waves with vorticity ⋮ Stratified periodic water waves with singular density gradients ⋮ Smooth stationary water waves with exponentially localized vorticity ⋮ On the bifurcation diagram of the capillary-gravity Whitham equation ⋮ Global Bifurcation of Waves with Multiple Critical Layers ⋮ Traveling gravity water waves with critical layers ⋮ \(N\)-modal steady water waves with vorticity ⋮ Solitary gravity-capillary water waves with point vortices

Cites Work

• Unnamed Item
• Global bifurcation for water waves with capillary effects and constant vorticity
• Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents
• On stratified steady periodic water waves with linear density distribution and stagnation points
• Bounds for steady water waves with vorticity
• Steady periodic water waves with constant vorticity: Regularity and local bifurcation
• Large-amplitude steady rotational water waves
• Bifurcation and secondary bifurcation of heavy periodic hydroelastic travelling waves
• Steady water waves with a critical layer
• The sub-harmonic bifurcation of Stokes waves
• Symmetry and the bifurcation of capillary-gravity waves
• Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
• Steady water waves with multiple critical layers: interior dynamics
• Linear water waves with vorticity: Rotational features and particle paths
• Bifurcation from simple eigenvalues
• Travelling water waves with compactly supported vorticity
• Existence of Wilton Ripples for Water Waves with Constant Vorticity and Capillary Effects
• Global bifurcation of capillary–gravity-stratified water waves
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
• Steady Water Waves with Multiple Critical Layers
• Steady Free-Surface Vortical Flows Parallel to the Horizontal Bottom
• Singularities of Bernoulli Free Boundaries
• Stratified Steady Periodic Water Waves
• The bifurcation and secondary bifurcation of capillary-gravity waves
• Exact steady periodic water waves with vorticity
• Periodic waves with constant vorticity in water of infinite depth
• Small amplitude capillary-gravity waves in a channel of finite depth

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