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A new multisymplectic unified formalism for second order classical field theories

Autor
P.D. Prieto-Martínez; Roman-Roy, N.
Tipus d'activitat
Article en revista
Revista
Journal of Geometric Mechanics
Data de publicació
2015-06-01
Volum
7
Número
2
Pàgina inicial
203
Pàgina final
253
DOI
https://doi.org/10.3934/jgm.2015.7.203 Obrir en finestra nova
Projecte finançador
Geometría de sistemas físicos y de control y aplicaciones
Repositori
http://arxiv.org/abs/1402.4087v3 Obrir en finestra nova
http://hdl.handle.net/2117/81889 Obrir en finestra nova
Resum
We present a new multisymplectic framework for second-order classical field theories which is based on an extension of the unified LagrangianHamiltonian formalism to these kinds of systems. This model provides a straightforward and simple way to define the Poincare-Cartan form and clarifies the construction of the Legendre map (univocally obtained as a consequence of the constraint algorithm). Likewise, it removes the undesirable arbitrariness in the solutions to the field equations, which are a...
Citació
P.D. Prieto-Martínez, Roman-Roy, N. A new multisymplectic unified formalism for second order classical field theories. "Journal of Geometric Mechanics", 01 Juny 2015, vol. 7, núm. 2, p. 203-253.
Paraules clau
Constraints, Dynamics, Formulation, Geometry, Higher-order field theories, KDV equation, KdV equation, Lagrangian and Hamiltonian formalisms, Mechanics, Skinner-Rusk formulation, Systems, TULCZYJEW, multisymplectic manifolds, skinner-rusk approach, variational-principles
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants

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