2006/03/20 by Asher Yahalom, Donald Lynden-Bell · 1 citation
Physics and Astronomy · Mathematics · #physics.flu-dyn #astro-ph #math-ph #math.MP #physics.comp-ph
paper · pdf · doi:10.1080/03091929.2014.952725
published as Geophysical & Astrophysical Fluid Dynamics. 11/2014; 108(6) · 24 pages, 2 figures
arxiv created 2006/03/20 · arxiv updated 2020/02/14
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 v and the density ρ. It will be shown how in terms of our new variable the Euler and continuity equations can be integrated in the stationary case.