Show simple item record

dc.contributor.authorde León, Manuel
dc.contributor.authorPrieto Martínez, Pedro Daniel
dc.contributor.authorRomán Roy, Narciso
dc.contributor.authorVilariño, Silvia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.identifier.citationde León, M., P.D. Prieto-Martínez, Roman-Roy, N., Vilariño, S. "Hamilton-Jacobi theory in multisymplectic classical field theories". 2015.
dc.description.abstractThe geometric framework for the Hamilton-Jacobi theory developed in [14, 17, 39] is extended for multisymplectic first-order classical field theories. The Hamilton-Jacobi problema is stated for the Lagrangian and the Hamiltonian formalisms of these theories as a particular case of a more general problem, and the classical Hamilton-Jacobi equation for field theories is recovered from this geometrical setting. Particular and complete solutions to these problems are defined and characterized in several equivalent ways in both formalisms, and the equivalence between them is proved. The use of distributions in jet bundles that represent the solutions to the field equations is the fundamental tool in this formulation. Some examples are analyzed and, in particular, the Hamilton-Jacobi equation for non-autonomous mechanical systems is obtained as a special case of our results.
dc.format.extent44 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshDifferential equations, Partial
dc.subject.otherClassical field theories
dc.subject.otherHamilton-Jacobi equations
dc.subject.otherMultisymplectic manifolds
dc.titleHamilton-Jacobi theory in multisymplectic classical field theories
dc.typeExternal research report
dc.subject.lemacEquacions diferencials
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.rights.accessOpen Access
local.citation.authorde León, M.; Prieto-Martínez, P.D.; Roman-Roy, N.; Vilariño, S.

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain