Mostra el registre d'ítem simple

dc.contributor.authorRomán Roy, Narciso
dc.contributor.authorRey, Angel M.
dc.contributor.authorSalgado, Modesto
dc.contributor.authorVilariño, Silvia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2011-10-27T18:04:04Z
dc.date.available2011-10-27T18:04:04Z
dc.date.created2011-03
dc.date.issued2011-03
dc.identifier.citationRoman-Roy, N. [et al.]. On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories. "Journal of Geometric Mechanics", Març 2011, vol. 3, núm. 1, p. 113-137.
dc.identifier.urihttp://hdl.handle.net/2117/13693
dc.description.abstractThe objective of this work is twofold: First, we analyze the relation between the k-cosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical eld theories. In particular, we prove the equivalence between k-symplectic eld theories and the so-called autonomous k-cosymplectic eld theories, extending in this way the description of the symplectic formalism of autonomous systems as a particular case of the cosymplectic formalism in non-autonomous mechanics. Furthermore, we clarify some aspects of the geometric character of the solutions to the Hamilton-de Donder-Weyl and the Euler-Lagrange equations in these formalisms. Second, we study the equivalence between k-cosymplectic and a particular kind of multisymplectic Hamiltonian and Lagrangian eld theories (those where the con guration bundle of the theory is trivial).
dc.format.extent25 p.
dc.language.isoeng
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshManifolds
dc.titleOn the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories
dc.typeArticle
dc.subject.lemacGeometria diferencial
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.identifier.doi10.3934/jgm.2011.3.113
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://aimsciences.org/journals/pdfs.jsp?paperID=6143&mode=full
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac5805903
dc.description.versionPostprint (published version)
local.citation.authorRoman-Roy, N.; Rey, A.; Salgado, M.; Vilariño, S.
local.citation.publicationNameJournal of Geometric Mechanics
local.citation.volume3
local.citation.number1
local.citation.startingPage113
local.citation.endingPage137


Fitxers d'aquest items

Imatge en miniatura

Aquest ítem apareix a les col·leccions següents

Mostra el registre d'ítem simple