Hamilton-Pontryagin principle for incompressible ideal fluids

Hiroaki Yoshimura, François Gay-Balmaz

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

We develop the Hamilton-Pontryagin principle for Lagrangians with advective parameters, which yields an implicit analogue of Euler-Poincaré equations with advective parameters. Then, we derive the reduced Hamilton-Pontryagin principle and illustrate it with the example of incompressible ideal fluids, where the configuration space is given by the group of (volume preserving) diffeomorphisms. Incorporating pressure and momentum densities as Lagrange multipliers into the Hamilton-Pontryagin principle, we finally show that the dynamics of incompressible ideal fluids can be effectively formulated in the context of implicit Euler-Poincaré equations.

本文言語English
ホスト出版物のタイトルRecent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
ページ645-647
ページ数3
DOI
出版ステータスPublished - 2011 1 1
イベントProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China
継続期間: 2011 6 302011 7 3

出版物シリーズ

名前AIP Conference Proceedings
1376
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Conference

ConferenceProceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
CountryChina
CityGuangzhou
Period11/6/3011/7/3

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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