The bifurcation and secondary bifurcation of capillary-gravity waves
Copyright policy )The bifurcation and secondary bifurcation of capillary-gravity waves
The bifurcation and secondary bifurcation of capillary-gravity waves is analysed when the surface tension is close to or equal to a value where the eigenspace of the critical phase speed has multiplicity two. The existence and multiplicity of solutions is seen, via the implicit function theorem, to be a special case of the secondary bifurcation phenomena, which occur when a double eigenvalue splits, under perturbation, into two simple eigenvalues in the presence of a symmetry in the problem.
- University of Bath United Kingdom
secondary bifurcation, capillary-gravity waves, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, surface tension, bifurcation, eigenspeed, existence, multiplicity, irrotational, steady, periodic, capillary-gravity wave, critical phase speed
secondary bifurcation, capillary-gravity waves, Water waves, gravity waves; dispersion and scattering, nonlinear interaction, surface tension, bifurcation, eigenspeed, existence, multiplicity, irrotational, steady, periodic, capillary-gravity wave, critical phase speed
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