On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water
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Publication:361154
DOI10.1007/s00021-010-0034-xzbMath1270.35365OpenAlexW2032487537MaRDI QIDQ361154
Publication date: 28 August 2013
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-010-0034-x
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
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Cites Work
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- On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water
- Capillary-gravity waves for an incompressible ideal fluid
- On the existence and conditional energetic stability of solitary water waves with weak surface tension
- Gravity solitary waves by minimization: an uncountable family
- Pseudodifferential operators and nonlinear PDE
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- The regularity and local bifurcation of steady periodic water waves
- Existence and conditional energetic stability of capillary-gravity solitary water waves by minimisation
- Existence by minimisation of solitary water waves on an ocean of infinite depth
- Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
- Capillary gravity waves on the free surface of an inviscid fluid of infinite depth. Existence of solitary waves
- Conditional energetic stability of gravity solitary waves in the presence of weak surface tension
- On the evolution of packets of water waves
- Limiting forms for capillary-gravity waves
- Capillary–gravity waves of solitary type on deep water
- On the Cauchy problem for a capillary drop. Part I: irrotational motion
- Stability of steep gravity–capillary solitary waves in deep water
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