A variational principle for two-fluid models

Details A variational principle for two-fluid models A variational principle for two-fluid models

2008-02-05

arxiv.org/abs/0802.0609v1

Comptes Rendus de l Acad\'emie des Sciences - Series IIB - Mechanics-Physics-Astronomy 324, 8 (1997) 483-490

Physics

Classical Physics

7 pages

Scientific paper

10.1016/S1251-8069(97)80186-8

A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential conjugated to the internal energy with respect to the relative velocity of phases. The equations of motion and a set of Rankine-Hugoniot conditions are obtained. It is proved also that the convexity of the internal energy guarantees the hyperbolicity of the one-dimensional equations of motion linearized at rest.

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