The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories
- 15 July 1998
- journal article
- Published by Elsevier BV in Advances in Mathematics
- Vol. 137 (1), 1-81
- https://doi.org/10.1006/aima.1998.1721
Abstract
No abstract availableKeywords
This publication has 58 references indexed in Scilit:
- Lagrangian reduction by stagesMemoirs of the American Mathematical Society, 2001
- Stability of relative equilibria. Part I: The reduced energy-momentum methodArchive for Rational Mechanics and Analysis, 1991
- Korteweg-de Vries superequation as an Euler equationFunctional Analysis and Its Applications, 1988
- Canonical maps between semidirect products with applications to elasticity and superfluidsCommunications in Mathematical Physics, 1983
- Reduction of symplectic manifolds with symmetryReports on Mathematical Physics, 1974
- Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaitsAnnales de l'institut Fourier, 1966
- Quantentheorie und fünfdimensionale RelativitätstheorieThe European Physical Journal A, 1926
- VII. Sur la stabilité de l'équilibre des figures pyriformes affectées par une masse fluide en rotationPhilosophical Transactions of the Royal Society A, 1902
- Ueber die Integration der hydrodynamischen Gleichungen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1859
- Über eine allgemeine Transformation der hydrodynamischen Gleichungen.Journal für die reine und angewandte Mathematik (Crelles Journal), 1857