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physics.flu-dyn2020★ 13 cited
The Generalized Carrier-Greenspan Transform for the shallow water system with arbitrary initial and boundary conditions
A. Rybkin, D. Nicolsky, E. Pelinovsky +1
We put forward a solution to the initial boundary value (IBV) problem for the nonlinear shallow water system in inclined channels of arbitrary cross-section by means of the general…
physics.flu-dyn2020★ 16 cited
General Initial Value Problem for the Nonlinear Shallow Water Equations: Runup of Long Waves on Sloping Beaches and Bays
Dmitry Nicolsky, Efim Pelinovsky, Amir Raz +1
We formulate a new approach to solving the initial value problem of the shallow water-wave equations utilizing the famous Carrier-Greenspan transformation [G. Carrier and H. Greens…