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physics.class-ph2019
Variational formulation for models of shear shallow water flows and ideal turbulence
Sergey Gavrilyuk, Henri Gouin
The shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the…
math-ph2019
Hyperbolicity of the modulation equations for the Serre-Green-Naghdi model
Sergey Tkachenko, Sergey Gavrilyuk, Keh-Ming Shyue
Serre-Green-Naghdi equations (SGN equations) is the most simple dispersive model of long water waves having "good" mathematical and physical properties. First, the model is a mathe…