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Simplified Variational Principles for Barotropic Fluid Dynamics

Asher Yahalom·Donald Lynden-Bell
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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.

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Asher Yahalom, Donald Lynden-Bell. 2006-03-20. Simplified Variational Principles for Barotropic Fluid Dynamics. https://doi.org/10.1080/03091929.2014.952725

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