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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…
math-ph2008★ 7 cited
Symmetric form of governing equations for capillary fluids
Sergey Gavrilyuk, Henri Gouin
In classical continuum mechanics, quasi-linear systems of conservation laws can be symmetrized if they admit an additional convex conservation law. In particular, this implies the…
math-ph2008★ 1 cited
Dissipative Two-Fluid Models
Henri Gouin, Sergey Gavrilyuk
From Hamilton's principle of stationary action, we derive governing equations of two-fluid mixtures and extend the model to the dissipative case without chemical reactions. For bot…