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• W2118977041 abstract "Several new results on the bifurcation and instability of nonlinear periodic travelling waves, at the interface between two fluids in relative motion, in a parametric neighbourhood of a Kelvin–Helmholtz unstable equilibrium are presented. The organizing centre for the analysis is a canonical Hamiltonian formulation of the Kelvin–Helmholtz problem presented in Part 1. When the density ratio of the upper and lower fluid layers exceeds a critical value, and surface tension is present, a pervasive superharmonic instability is found, and as u → u 0 , where u is the velocity difference between the two layers and u 0 is the Kelvin–Helmholtz threshold, the amplitude at which the superharmonic instability occurs scales like ( u 0 − u ) 1/2 with u < u 0 . Other results presented herein include ( a ) new results on the structure of the superharmonic instability, ( b ) the discovery of isolated branches and intersecting branches of travelling waves near a critical density ratio, ( c ) the appearance of Benjamin–Feir instability along branches of waves near the Kelvin–Helmholtz instability threshold and ( d ) the interaction between the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instability at low amplitude." @default.
• W2118977041 created "2016-06-24" @default.
• W2118977041 creator A5014420356 @default.
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• W2118977041 date "1997-02-25" @default.
• W2118977041 modified "2023-09-23" @default.
• W2118977041 title "Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instabilities" @default.
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• W2118977041 doi "https://doi.org/10.1017/s0022112096004284" @default.
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