Article contents
Symmetry analysis of rotating fluid
Published online by Cambridge University Press: 17 February 2009
Abstract
The machinery of Lie theory (groups and algebras) is applied to the unsteady equations of motion of rotating fluid. A special-function type solution for the steady state is derived. It is then shown how the solution generates an infinite number of time-dependent solutions via three arbitrary functions of time. This algebraic structure also provides the mechanism to search for other solutions since its character is inferred from the basic equations.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2005
References
- 3
- Cited by