WebUrsell F (2008) The long-wave paradox in the theory of gravity waves, Mathematical Proceedings of the Cambridge Philosophical Society, 10.1017/S0305004100028887, 49:4, (685-694), Online publication date: 1-Oct-1953. Web14 de jul. de 2024 · These jumps show visual resemblance to the hydraulic jumps seen in rivers and bores, and an early mathematical model in 1914, aimed at describing bores, was built on the concept of momentum conservation, 1 1. Lord Rayleigh, “ On the theory of long waves and bores,” Proc. R. Soc. London, Ser.
On the Robustness and Efficiency of the Plane-Wave-Enriched …
WebIn the theory of long waves in two dimensions, which we may suppose to be reduced to a "steady" motion, it is assumed that the length is so great in proportion to the depth of the water that the velocity in a vertical direction can be neglected, and that the horizontal velocity is uniform across each section of the canal. This, it should be observed, is … Web29 de mar. de 2006 · Cnoidal waves and bores in uniform channels of arbitrary cross-section ... A steady nonlinear dispersive wave theory is developed in terms of three … flight 3386
The long-wave paradox in the theory of gravity waves
WebThe values of Q, R and S probably determine the wave-train uniquely; this is proved explicitly for long waves in a new presentation of the ‘cnoidal wave’ theory (§3). The … Web4 de jun. de 1998 · Shen, “ Asymptotic theory of unsteady three-dimensional waves in a channel of arbitrary cross section,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 17, 260 (1969). Google Scholar Crossref 10. Web12 de mai. de 2012 · The study of the resolution of an initial discontinuity for the Gardner equation reveals a rich phenomenology of solutions which, along with the KdV-type simple undular bores, include nonlinear trigonometric bore, solibores, rarefaction waves, and composite solutions representing various combinations of the above structures. We … flight 3377