Conservation laws for incompressible fluids

Conservation laws for incompressible fluids

By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is det...

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Main Authors: G. Caviglia, A. Morro
Format: Article
Language:English
Published: Hindawi Limited 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171289000438
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spelling doaj-913ff5c0c2774da88bef43b0413138652020-11-24T22:34:29ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112237738410.1155/S0161171289000438Conservation laws for incompressible fluidsG. Caviglia0A. Morro1Department of Mathematics, Via L.B. Alberti 4, Genova 16132, ItalyDepartment of Biophysical and Electronic Engineering, Viale Causa 13, Genova 16145, ItalyBy means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular momentum, energy and helicity.http://dx.doi.org/10.1155/S0161171289000438
collection DOAJ
language English
format Article
sources DOAJ
author G. Caviglia
A. Morro
spellingShingle G. Caviglia
A. Morro
Conservation laws for incompressible fluids
International Journal of Mathematics and Mathematical Sciences
author_facet G. Caviglia
A. Morro
author_sort G. Caviglia
title Conservation laws for incompressible fluids
title_short Conservation laws for incompressible fluids
title_full Conservation laws for incompressible fluids
title_fullStr Conservation laws for incompressible fluids
title_full_unstemmed Conservation laws for incompressible fluids
title_sort conservation laws for incompressible fluids
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1989-01-01
description By means of a direct approach, a complete set of conservation laws for incompressible fluids is determined. The problem is solved in the material (Lagrangian) description and the results are eventually rewritten in the spatial (Eulerian) formulation. A new infinite family of conservation laws is determined, besides those for linear momentum, angular momentum, energy and helicity.
url http://dx.doi.org/10.1155/S0161171289000438
work_keys_str_mv AT gcaviglia conservationlawsforincompressiblefluids
AT amorro conservationlawsforincompressiblefluids
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