Gravity solitary waves by minimization: an uncountable family

DOI10.12775/TMNA.2009.046zbMath1294.76065OpenAlexW760321196MaRDI QIDQ981942

Boris Buffoni

Publication date: 9 July 2010

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2009.046

zbMATH Keywords

stabilityexistencesolitary wavesvariational methodswater wavesconcentration-compactness principleCapillary-gravity water wavesconditional energetic stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Interfacial stability and instability in hydrodynamic stability (76E17) Soliton solutions (35C08)

Related Items (7)

A dimension-breaking phenomenon for water waves with weak surface tension ⋮ Orbital stability of internal waves ⋮ Existence and conditional energetic stability of solitary gravity–capillary water waves with constant vorticity ⋮ On the existence and conditional energetic stability of solitary gravity-capillary surface waves on deep water ⋮ On the existence and conditional energetic stability of solitary water waves with weak surface tension ⋮ A variational approach to solitary gravity-capillary interfacial waves with infinite depth ⋮ Orbital stability of solitary waves on a ferrofluid jet

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