On the existence and conditional energetic stability of solitary water waves with weak surface tension
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Publication:964431
DOI10.1016/j.crma.2010.01.003zbMath1195.35094OpenAlexW2017125009MaRDI QIDQ964431
Publication date: 15 April 2010
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2010.01.003
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Soliton solutions (35C08)
Related Items (11)
A dimension-breaking phenomenon for water waves with weak surface tension ⋮ Orbital stability of internal waves ⋮ Transverse dynamics of two-dimensional gravity-capillary periodic water waves ⋮ Dynamics of steep two-dimensional gravity–capillary solitary waves ⋮ Existence and conditional energetic stability of solitary gravity–capillary water waves with constant vorticity ⋮ Asymptotic linear stability of solitary water waves ⋮ On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water ⋮ A variational approach to solitary gravity-capillary interfacial waves with infinite depth ⋮ An existence theory for gravity-capillary solitary water waves ⋮ Orbital stability of solitary waves on a ferrofluid jet ⋮ The existence and uniqueness of positive monotone solutions for a class of nonlinear Schrödinger equations on infinite domains
Cites Work
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- Gravity solitary waves by minimization: an uncountable family
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- Existence and conditional energetic stability of capillary-gravity solitary water waves by minimisation
- Conditional energetic stability of gravity solitary waves in the presence of weak surface tension
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