Poles and branch cuts in free surface hydrodynamics
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Publication:2063898
DOI10.1007/s42286-020-00040-yzbMath1481.76029arXiv1911.11609OpenAlexW3126411793MaRDI QIDQ2063898
Vladimir E. Zakharov, Pavel M. Lushnikov
Publication date: 3 January 2022
Published in: Water Waves (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.11609
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51) Complex variables methods applied to problems in fluid mechanics (76M40) Free-surface potential flows for incompressible inviscid fluids (76B07)
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Cites Work
- Numerical simulation of gravity waves
- New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
- Applications of numerical conformal mapping
- On the dynamics of an ideal fluid with a free surface.
- Exactly integrable dynamics of interface between ideal fluid and light viscous fluid
- Modeling extreme waves based on equations of potential flow with a free surface
- Numerical Modeling of Sea Waves
- Singularities in the complex physical plane for deep water waves
- Branch Cuts of Stokes Wave on Deep Water. Part I: Numerical Solution and Padé Approximation
- Singularity formation during Rayleigh–Taylor instability
- A Localized Approximation Method for Vortical Flows
- Singularities in water waves and Rayleigh–Taylor instability
- Unsteady flows with a zero acceleration on the free boundary
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- On the connection between thin vortex layers and vortex sheets
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
- A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
- 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
- Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
- New conformal mapping for adaptive resolving of the complex singularities of Stokes wave
- Generalized vortex methods for free-surface flow problems
- The singularity at the crest of a finite amplitude progressive Stokes wave
- Structure and location of branch point singularities for Stokes waves on deep water
- Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion
- Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface
