On the Lagrangian description of vorticity
Abstract
This paper exploits a Lagrangian form of the vorticity field that is based on a formula of Beltrami, the merits of which do not seem to have been fully appreciated. A number of new results are readily derived by using the Lagrangian description, and the classical vorticity theorems are also included. The results, being purely kinematical, apply to all deformable media (including viscous fluids) and may also be of value in computations.
- Publication:
-
Archive for Rational Mechanics and Analysis
- Pub Date:
- June 1991
- DOI:
- 10.1007/BF01881677
- Bibcode:
- 1991ArRMA.115....1C
- Keywords:
-
- Euler-Lagrange Equation;
- Vorticity;
- Cauchy Problem;
- Euler Equations Of Motion;
- Helmholtz Equations;
- Potential Flow;
- Transport Theory;
- Vortices;
- Physics (General);
- Neural Network;
- Vorticity;
- Complex System;
- Nonlinear Dynamics;
- Electromagnetism