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Application of the Poincaré method to the analytic theory of partial differential equations

✍ Scribed by A. Janusauskas

Publisher
Springer
Year
1982
Tongue
English
Weight
167 KB
Volume
21
Category
Article
ISSN
0363-1672

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✍ Darryl D Holm; Jerrold E Marsden; Tudor S Ratiu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 825 KB

We study Euler Poincare systems (i.e., the Lagrangian analogue of Lie Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler Poincare equations for a parameter dependent Lagrangian by using a variational principle of Lagrange d'Alembert type.