Long-wave transverse instability of interfacial gravity-capillary solitary waves in a two-layer potential flow in deep water
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Publication:845771
DOI10.1007/s10665-009-9293-zzbMath1180.76025OpenAlexW2042766477MaRDI QIDQ845771
Publication date: 29 January 2010
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10665-009-9293-z
solitary wavesEuler equationsthree-dimensional flowdispersive fluid wave systemstotal mechanical energy
Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Hydrodynamic stability (76E99)
Related Items (3)
Dynamics of interfacial gravity-capillary waves in three-dimensional fluids of great depth ⋮ On weakly nonlinear gravity-capillary solitary waves ⋮ Long-wave transverse instability of weakly nonlinear gravity-capillary solitary waves
Cites Work
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- Deep-water internal solitary waves near critical density ratio
- Three-dimensional gravity and gravity-capillary interfacial flows
- Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water
- Capillary-gravity solitary waves with damped oscillations
- Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
- Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's
- Three-dimensional localized solitary gravity-capillary waves
- Transverse instability of gravity-capillary solitary waves
- Transverse instability of solitary-wave states of the water-wave problem
- On the evolution of packets of water waves
- Capillary–gravity waves of solitary type and envelope solitons on deep water
- A Model Equation for Wavepacket Solitary Waves Arising from Capillary-Gravity Flows
- On interfacial gravity-capillary solitary waves of the Benjamin type and their stability
- Three-dimensional gravity-capillary solitary waves in water of finite depth and related problems
- The stability of solitary waves
- Capillary–gravity waves of solitary type on deep water
- Gravity-capillary solitary waves in water of infinite depth and related free-surface flows
- A new kind of solitary wave
- On the mass, momentum, energy and circulation of a solitary wave
- On two-dimensional packets of capillary-gravity waves
- Envelope solitons with stationary crests
- Numerical computation of capillary–gravity interfacial solitary waves
- Stability of steep gravity–capillary solitary waves in deep water
- Transverse instability of surface solitary waves
- Solitary-Wave Solutions of the Benjamin Equation
- Transverse instability of interfacial solitary waves
- Nonlinear three-dimensional interfacial flows with a free surface
- The stability of finite-amplitude interfacial solitary waves
- On gravity–capillary lumps. Part 2. Two-dimensional Benjamin equation
- On the stability of lumps and wave collapse in water waves
- Internal waves of permanent form in fluids of great depth
- Nonlinear three-dimensional gravity–capillary solitary waves
- On gravity–capillary lumps
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