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Hamilton-Jacobi theory in multisymplectic classical field theories
dc.contributor.author | de León, Manuel |
dc.contributor.author | Prieto Martínez, Pedro Daniel |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.author | Vilariño, Silvia |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2016-01-21T11:19:16Z |
dc.date.available | 2016-01-21T11:19:16Z |
dc.date.issued | 2015-04-08 |
dc.identifier.citation | de León, M., P.D. Prieto-Martínez, Roman-Roy, N., Vilariño, S. "Hamilton-Jacobi theory in multisymplectic classical field theories". 2015. |
dc.identifier.uri | http://hdl.handle.net/2117/81799 |
dc.description.abstract | The 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.extent | 44 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Classical field theories |
dc.subject.other | Hamilton-Jacobi equations |
dc.subject.other | Multisymplectic manifolds |
dc.title | Hamilton-Jacobi theory in multisymplectic classical field theories |
dc.type | External research report |
dc.subject.lemac | Equacions diferencials |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.relation.publisherversion | http://arxiv.org/pdf/1504.02020v1.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 15584940 |
dc.description.version | Preprint |
local.citation.author | de León, M.; Prieto-Martínez, P.D.; Roman-Roy, N.; Vilariño, S. |
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