
pmid: 17360260
The purpose of this paper is to present some recent advances in the study of water waves with vorticity and surface tension. These are periodic, two-dimensional waves over a flat bottom and the surface profiles are symmetric and monotone between crest and trough. The proofs rely on bifurcation theory.
Water waves, gravity waves; dispersion and scattering, nonlinear interaction, surface tension, water waves, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, PDEs in connection with fluid mechanics, Abstract bifurcation theory involving nonlinear operators, vorticity
Water waves, gravity waves; dispersion and scattering, nonlinear interaction, surface tension, water waves, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, PDEs in connection with fluid mechanics, Abstract bifurcation theory involving nonlinear operators, vorticity
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 19 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
