Global Bifurcation of Waves with Multiple Critical Layers
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Publication:5127150
DOI10.1137/19M1274845zbMath1454.35302arXiv1907.05736OpenAlexW3093579230MaRDI QIDQ5127150
Publication date: 21 October 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.05736
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07)
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Cites Work
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- Solitary gravity-capillary water waves with point vortices
- 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
- Steady periodic water waves with constant vorticity: Regularity and local bifurcation
- \(N\)-modal steady water waves with vorticity
- Steady water waves with a critical layer
- Stokes waves
- Elliptic partial differential equations of second order
- Traveling gravity water waves with critical layers
- Perturbation theory for linear operators.
- Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
- Steady water waves with multiple critical layers: interior dynamics
- Trimodal steady water waves
- Global bifurcation of steady gravity water waves with critical layers
- Small-amplitude steady water waves with critical layers: non-symmetric waves
- Linear water waves with vorticity: Rotational features and particle paths
- Bifurcation from simple eigenvalues
- Travelling water waves with compactly supported vorticity
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Steady Water Waves with Multiple Critical Layers
- On the Analyticity of the Solutions of Analytic Non-Linear Elliptic Systems of Partial Differential Equations: Part I. Analyticity in the Interior
- Steady Periodic Capillary‐Gravity Waves with Vorticity
- Exact steady periodic water waves with vorticity
- Steady Water Waves
- Solitary waves on constant vorticity flows with an interior stagnation point
- On the Stability of Solitary Water Waves with a Point Vortex
- On the Existence and Instability of Solitary Water Waves with a Finite Dipole
- Bifurcation Theory for Analytic Operators
