Rosteck, Andreas ; Oberlack, Martin (2011)
Lie Algebra of the Symmetries of the Multi-Point Equations in Statistical Turbulence Theory.
In: Journal of Nonlinear Mathematical Physics (JNMP), 18 (1)
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We briefly derive the infinite set of multi-point correlation equations based on the Navier-Stokes equations for an incompressible fluid. From this we reconsider the previously derived set of Lie symmetries, i.e. those directly induced by the ones from classical mechanics and also new symmetries. The latter are denoted statistical symmetries and have no direct counterpart in classical mechanics. Finally, we considerably extend the set of symmetries by Lie algebra methods and give the corresponding commutator tables. Due to the infinite dimensionality of the multi-point correlation equations completeness of its symmetries is not proven yet and is still an open question.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Rosteck, Andreas ; Oberlack, Martin |
| Art des Eintrags: | Bibliographie |
| Titel: | Lie Algebra of the Symmetries of the Multi-Point Equations in Statistical Turbulence Theory |
| Sprache: | Englisch |
| Publikationsjahr: | Mai 2011 |
| Verlag: | Atlantis Press |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Nonlinear Mathematical Physics (JNMP) |
| Jahrgang/Volume einer Zeitschrift: | 18 |
| (Heft-)Nummer: | 1 |
| URL / URN: | http://www.worldscinet.com/jnmp/18/18supp01/S140292511100140... |
| Kurzbeschreibung (Abstract): | We briefly derive the infinite set of multi-point correlation equations based on the Navier-Stokes equations for an incompressible fluid. From this we reconsider the previously derived set of Lie symmetries, i.e. those directly induced by the ones from classical mechanics and also new symmetries. The latter are denoted statistical symmetries and have no direct counterpart in classical mechanics. Finally, we considerably extend the set of symmetries by Lie algebra methods and give the corresponding commutator tables. Due to the infinite dimensionality of the multi-point correlation equations completeness of its symmetries is not proven yet and is still an open question. |
| Freie Schlagworte: | Turbulence; multi-point statistics; Lie symmetry; Lie algebra |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Strömungsdynamik (fdy) Exzellenzinitiative Exzellenzinitiative > Exzellenzcluster Zentrale Einrichtungen Exzellenzinitiative > Exzellenzcluster > Center of Smart Interfaces (CSI) |
| Hinterlegungsdatum: | 17 Dez 2014 13:35 |
| Letzte Änderung: | 18 Feb 2019 14:31 |
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