Stagnation Points Beneath Rotational Solitary Waves in Gravity-Capillary Flows

DOI10.5540/tcam.2023.024.02.00265zbMath1525.76020OpenAlexW4377983161MaRDI QIDQ6088979

Marcelo V. Flamarion

Publication date: 14 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5540/tcam.2023.024.02.00265

zbMATH Keywords

Euler equationsKdV equationstagnation pointsgravity-capillary waves

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Reconstruction of the pressure in long-wave models with constant vorticity
• Qualitative description of the particle trajectories for the \(N\)-solitons solution of the Korteweg-de Vries equation
• Particle dynamics in the KdV approximation
• Particle trajectories in linear deep-water waves
• Particle trajectories in the Serre equations
• Stationary water waves on rotational flows of two vortical layers
• Particle trajectories in nonlinear Schrödinger models
• Equatorial wind waves with capillary effects and stagnation points
• A boundary integral formulation for particle trajectories in Stokes waves
• On the nonlinear critical layer below a nonlinear unsteady surface wave
• Particle paths in nonlinear Schrödinger models in the presence of linear shear currents
• Time-dependent Kelvin cat-eye structure due to current–topography interaction
• Exact free surfaces in constant vorticity flows
• Pressure beneath a Stokes wave
• Flow structure beneath rotational water waves with stagnation points