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math.AP2017
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations
David Lannes, Guy Metivier
The Green-Naghdi equations are a nonlinear dispersive perturbation of the nonlinear shallow water equations, more precise by one order of approximation. These equations are commonl…
physics.flu-dyn2017★ 33 cited
Recovering water wave elevation from pressure measurements
Philippe Bonneton, David Lannes
The reconstruction of water wave elevation from bottom pressure measurements is an important issue for coastal applications, but corresponds to a difficult mathematical problem. In…