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A dive into shallow water

2010
In this tutorial, we attempt to furnish a basic introduction on shallow water modeling with specific attention to Saint--Venant equations. We propose a selection of results, including derivation of the model, well-posedness of the Cauchy problem, existence and stability of roll-waves, kinetic formulation and the corresponding hydrodynamical limit ...
openaire   +1 more source

Orbital stability of solitary waves for a shallow water equation

Physica D: Nonlinear Phenomena, 2001
Adrian Constantin, Luc Molinet
exaly  

Oscillation‐Free Solution of Shallow Water Equations for Nonstaggered Grid

Journal of Hydraulic Engineering, 1993
Romuald Szymkiewicz   +1 more
exaly  

Divergence Form for Bed Slope Source Term in Shallow Water Equations

Journal of Hydraulic Engineering, 2006
Alessandro Valiani, Lorenzo Begnudelli
exaly  

On displacement shallow water wave equation and symplectic solution

Computer Methods in Applied Mechanics and Engineering, 2017
, Wanxie Zhong
exaly  

Comparison of solutions of linear and non-linear shallow water wave equations using homotopy perturbation method

International Journal of Numerical Methods for Heat and Fluid Flow, 2017
, Snehashish Chakraverty
exaly  

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