The bifurcation of interfacial capillary-gravity waves under \(\text{O}(2)\) symmetry

DOI10.3934/CPAA.2011.10.1183zbMath1238.37033OpenAlexW1978035925MaRDI QIDQ652030

Mark C. W. Jones

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1183

zbMATH Keywords

bifurcationLyapunov-Schmidtgroup invariancefluid-fluid interface

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (3)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ Double Degeneracy in the Immiscible Wilton Ripple Phenomenon: A Three Perturbation Parameter Problem in Bifurcation Theory

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