Vorticity-preserving motions in classical space-time

Kadianakis, N

dc.contributor.author	Kadianakis, N	en
dc.date.accessioned	2014-03-01T01:06:43Z
dc.date.available	2014-03-01T01:06:43Z
dc.date.issued	1986	en
dc.identifier.issn	0369-3554	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9579
dc.subject	02.40.	en
dc.subject	03.40.	en
dc.subject	Classical mechanics of continuous media : general mathematical aspects	en
dc.subject	differential geometry and topology	en
dc.subject	Geometry	en
dc.subject.classification	Physics, Multidisciplinary	en
dc.title	Vorticity-preserving motions in classical space-time	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02749004	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02749004	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	In this work we state and prove, in a frame-independent way, necessary and sufficient conditions for vorticity-preserving motions in classical space-time. Also we prove appropriate generalizations of classical Kelvin's theorems for isentropic and isochoric motions. In order to achieve a frame-independent formulation, we use the concept of classical nonrelativistic space-time, considered as a 4-dimensional differentiable manifold M endowed with an affine connection Γ. In this respect our results are generalizations of classical frame-dependent ones, based on a much simpler flat space-time M =T x E, where the « time »T and the « space »E are Euclidean spaces of dimension one and three, respectively. © 1986 Società Italiana di Fisica.	en
heal.publisher	Società Italiana di Fisica	en
heal.journalName	Il Nuovo Cimento B Series 11	en
dc.identifier.doi	10.1007/BF02749004	en
dc.identifier.isi	ISI:A1986E426000005	en
dc.identifier.volume	95	en
dc.identifier.issue	1	en
dc.identifier.spage	82	en
dc.identifier.epage	98	en