Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories
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| Creator |
Román-Roy, N.
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| Description |
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 are given in different but equivalent geometrical ways in each formalism. Finally, both are unified in a new formulation (which has been developed in the last years), following the original ideas of Rusk and Skinner for mechanical systems.
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| Date |
2019-02-19T17:19:11Z
2019-02-19T17:19:11Z 2009 |
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| Type |
Article
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| Identifier |
Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories / N. Román-Roy // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 98 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 70S05; 55R10; 53C80 http://dspace.nbuv.gov.ua/handle/123456789/149096 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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