Symmetry analysis of rotating fluid

• Autores: K. Fakhar, Z.-C. Chen, Xiaoda Ji
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 1, 2005, págs. 65-74
• Idioma: inglés
• DOI: 10.1017/s1446181100009779
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• Resumen

  • 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.