A Variational Approach to Solitary Gravity–Capillary Interfacial Waves with Infinite Depth
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DOI: 10.1007/s00332-019-09553-4
Abstract: We present an existence and stability theory for gravity–capillary solitary waves on the top surface of and interface between two perfect fluids of different densities, the lower one being of infinite depth. Exploiting a classical… read more here.
Keywords: solitary gravity; infinite depth; gravity capillary; variational approach ... See more keywords
A nonlinear Schrödinger equation for gravity–capillary water waves on arbitrary depth with constant vorticity. Part 1
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.627
Abstract: A nonlinear Schrödinger equation for the envelope of two-dimensional gravity–capillary waves propagating at the free surface of a vertically sheared current of constant vorticity is derived. In this paper we extend to gravity–capillary wave trains… read more here.
Keywords: vorticity; modulational instability; gravity capillary; gravity ... See more keywords
Transverse instability of gravity–capillary solitary waves on deep water in the presence of constant vorticity
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DOI: 10.1017/jfm.2019.350
Abstract: The bifurcation of two-dimensional gravity–capillary waves into solitary waves when the phase velocity and group velocity are nearly equal is investigated in the presence of constant vorticity. We found that gravity–capillary solitary waves with decaying… read more here.
Keywords: solitary waves; vorticity; presence; gravity capillary ... See more keywords
Parasitic waves and micro-breaking on highly nonlinear gravity–capillary waves in a convergent channel
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DOI: 10.1017/jfm.2023.322
Abstract: Abstract Gravity–capillary waves are waves influenced by both the effects of surface tension and gravity; these waves are at small scales with wavelength range from approximately 10 cm to less than 1 cm. Gravity–capillary waves… read more here.
Keywords: gravity; gravity capillary; parasitic waves; capillary waves ... See more keywords
Fifth order evolution equation of gravity-capillary waves
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DOI: 10.21914/anziamj.v59i0.10867
Abstract: We extend the evolution equation for weak nonlinear gravity–capillary waves by including fifth-order nonlinear terms. Stability properties of a uniform Stokes gravity–capillary wave train is studied using the evolution equation obtained here. The region of… read more here.
Keywords: gravity capillary; order; evolution; evolution equation ... See more keywords