Vorticity-preserving motions in classical space-time

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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 http://hdl.handle.net/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

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