International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 377-384
doi:10.1155/S0161171289000438
Conservation laws for incompressible fluids
G. Caviglia1
and A. Morro2
1Department of Mathematics, Via L.B. Alberti 4, Genova 16132, Italy
2Department of Biophysical and Electronic Engineering, Viale Causa 13, Genova 16145, Italy
Abstract
By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular momentum, energy and helicity.