Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation

So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity equation is presented here. Starting from the Lie–Poisson form and its algebraic properties it is shown how the Nambu rep...

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Detalles Bibliográficos
Autores principales: Sommer, M., Brazda, K., Hantel, M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2011
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3183825/
https://www.ncbi.nlm.nih.gov/pubmed/21980219
http://dx.doi.org/10.1016/j.physleta.2011.07.038
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author Sommer, M.
Brazda, K.
Hantel, M.
author_facet Sommer, M.
Brazda, K.
Hantel, M.
author_sort Sommer, M.
collection PubMed
description So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity equation is presented here. Starting from the Lie–Poisson form and its algebraic properties it is shown how the Nambu representation can be explicitly constructed as the continuum limit from the structure preserving Zeitlin discretization.
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spelling pubmed-31838252011-10-04 Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation Sommer, M. Brazda, K. Hantel, M. Phys Lett A Article So far fluid mechanical Nambu brackets have mainly been given on an intuitive basis. Alternatively an algorithmic construction of such a bracket for the two-dimensional vorticity equation is presented here. Starting from the Lie–Poisson form and its algebraic properties it is shown how the Nambu representation can be explicitly constructed as the continuum limit from the structure preserving Zeitlin discretization. Elsevier 2011-08-29 /pmc/articles/PMC3183825/ /pubmed/21980219 http://dx.doi.org/10.1016/j.physleta.2011.07.038 Text en © 2011 Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Sommer, M.
Brazda, K.
Hantel, M.
Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title_full Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title_fullStr Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title_full_unstemmed Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title_short Algebraic construction of a Nambu bracket for the two-dimensional vorticity equation
title_sort algebraic construction of a nambu bracket for the two-dimensional vorticity equation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3183825/
https://www.ncbi.nlm.nih.gov/pubmed/21980219
http://dx.doi.org/10.1016/j.physleta.2011.07.038
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