Multisymplectic Lagrangian and Hamiltonian formalisms of First-order Classical Field theories
Visualitza/Obre
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/398
Tipus de documentArticle
Data publicació2006-03-03
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 2.5 Espanya
Abstract
This review paper is devoted to presenting the standard multisymplectic formulation for
describing geometrically first-order classical field theories, both the regular and singular cases. First, the main features of the Lagrangian formalism are revisited and, second, the Hamiltonian formalism is constructed using Hamiltonian sections. In both cases, the variational principles
leading to the Euler-Lagrange and the Hamilton-De Donder-Weyl equations, respectively, are stated, and these field equations are given in different but equivalent geometrical ways in each formalism. Finally, both are unified in a new formulation (which has been recently developed),
following the original ideas of Rusk and Skinner for mechanical systems.
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
mlhffoft.pdf | 253,1Kb | Visualitza/Obre |