On the invariant formulation of fluid mechanics

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dc.creatorPiekarski, S.
dc.date2004-11-17
dc.date.accessioned2026-07-07T05:53:28Z
dc.date.available2026-07-07T05:53:28Z
dc.descriptionIt can be observed that the differential operators of fluid mechanics can be defined in terms of the complete derivative on the finite - dimensional affine space. It follows from the fact that all norms on the finite - dimensional vector space are equivalent and from the definition of the complete derivative on the normed affine spaces (see: L.Schwartz, Analyse Mathematique, Hermann, 1967). In particular, it is shown that the "substantial derivative" of the standard formulation is a directional derivative along the "non - relativistic four - velocity".
dc.identifierhttps://arxiv.org/abs/physics/0411154
dc.identifierhttp://arxiv.org/abs/physics/0411154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86651
dc.subjectFluid Dynamics
dc.subjectGeneral Physics
dc.titleOn the invariant formulation of fluid mechanics
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