Simplified Variational Principles for Barotropic Fluid Dynamics

Abstract

We introduce a three independent functions variational formalism for stationary and non-stationary barotropic flows. This is less than the four variables which appear in the standard equations of fluid dynamics which are the velocity field $\vec{v}$ and the density $\rho$. It will be shown how in terms of our new variable the Euler and continuity equations can be integrated in the stationary case.

24 pages, 2 figures

References in corpus (1)

• Simplified Variational Principles for Barotropic Magnetohydrodynamics

Cited by in corpus (3)

• A Conserved Cross Helicity for Non-Barotropic MHD
• Dirac Theory as a Relativistic Flow
• A New Diffeomorphism Symmetry Group of Non-Barotropic Magnetohydrodynamics