Donato, Andrea and Jeffrey, Alan (2000) On the influence of initial conditions on the motion of water confined within a tank. Memorie scientifiche di Andrea Donato, LXXVII. pp. 113-118.
The aim of this paper is to investigate the influence of initial values on the motion of waves in shallow water confined between two vertical walls of a tank with a polygonal bottom. A method introduced by G.S.S Ludford to study a Riemann problem in gas dynamics is modified and used to obtain an estimate of the time of breakdown of an initially smooth but arbitrary wave motion on the surface of the water
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