Singularities in water waves and the Rayleigh–Taylor problem
From MaRDI portal
Publication:3573326
DOI10.1017/S0022112009992710zbMath1189.76229OpenAlexW2078773065MaRDI QIDQ3573326
Francisco de la Hoz, Marco Antonio Fontelos
Publication date: 30 June 2010
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112009992710
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55)
Related Items
Singularities in the complex physical plane for deep water waves ⋮ RAYLEIGH–TAYLOR INSTABILITIES IN AXI-SYMMETRIC OUTFLOW FROM A POINT SOURCE ⋮ Vortex simulations of the Kelvin-Helmholtz instability with surface tension in density-stratified flows ⋮ Controllability of surface gravity waves and the sloshing problem ⋮ Selection of singular solutions in non-local transport equations
Cites Work
- Unnamed Item
- A numerical algorithm for viscous incompressible interfacial flows
- The effect of surface tension on the Moore singularity of vortex sheet dynamics
- Almost global wellposedness of the 2-D full water wave problem
- Spiral vortex solution of Birkhoff-Rott equation
- Removing the stiffness from interfacial flows with surface tension
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Singularity formation during Rayleigh–Taylor instability
- Singularities in water waves and Rayleigh–Taylor instability
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- Mathematical aspects of surface water waves
- Dynamic generation of capillary waves
- A numerical study of breaking waves
- Evolution of weakly nonlinear water waves in the presence of viscosity and surfactant
- The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
- Singularities in the classical Rayleigh-Taylor flow: formation and subsequent motion
- Convergence of a Boundary Integral Method for Water Waves
- Generalized vortex methods for free-surface flow problems
- The zero surface tension limit two‐dimensional water waves
- The long-time motion of vortex sheets with surface tension
- The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I