A variational principle for two-fluid models
Classical Physics
2008-02-06 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0802.0609,
title = {A variational principle for two-fluid models},
author = {Sergey Gavrilyuk and Henri Gouin and Yurii Perepechko},
journal= {arXiv preprint arXiv:0802.0609},
year = {2008}
}
Comments
7 pages