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Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories

Autor
Roman-Roy, N.
Tipus d'activitat
Article en revista
Revista
Symmetry, integrability and geometry: methods and applications
Data de publicació
2009
Volum
5
Pàgina inicial
100
Pàgina final
125
Repositori
http://hdl.handle.net/2117/11879 Obrir en finestra nova
URL
http://www.emis.ams.org/journals/SIGMA/2009/100/sigma09-100.pdf Obrir en finestra nova
Resum
This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically 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 ar...
Citació
Roman-Roy, N. Multisymplectic Lagrangian and Hamiltonian formalisms of classical field theories. "Symmetry, integrability and geometry: methods and applications", 2009, vol. 5, p. 100-125.
Grup de recerca
DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions

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