262 citations
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math.AP2019
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…
math.AP2015★ 11 cited
On the multi-symplectic structure of the Serre-Green-Naghdi equations
Marx Chhay, Denys Dutykh, Didier Clamond
In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic…