Vorticity invariants in hydrodynamics

Autor: M.J. Vedan, P. J. Subin
Rok vydání: 2004
Předmět:
Zdroj: Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP). 55:258-267
ISSN: 1420-9039
0044-2275
DOI: 10.1007/s00033-003-1085-0
Popis: An invariance condition of differential forms under a flow generated by a four vector field in a four-dimensional manifold is used to obtain vorticity invariants in hydrodynamics. The manifold represents the four-dimensional Euclidean space-time continuum. Differential forms of degree 0, 1, 2 and 3 exists in three dimensional space, which lead to the existence of four types of local invariants. But in the four dimensional space-time manifold one more differential form, of degree four also, exists. The invariance condition of this form gives an additional invariant of hydrodynamics.
Databáze: OpenAIRE
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