Lagrangian and Hamiltonian formulation for infinite-dimensional systems – a variational point of view

Markus Schöberl and Kurt Schlacher

Mathematical and Computer Modelling of Dynamical Systems, 2017, vol. 23, issue 1, 89-103

Abstract: In this article we use the Lagrange multiplier method, which is well-known in constrained optimization theory, to derive several different Hamiltonian counterparts to Lagrangian systems described by partial differential equations in a variational setting. The main observation is the fact that unconstrained, infinite-dimensional systems can be formulated as constrained variational problems, where the constraints are used to hide some or all derivative variables appearing in the Lagrangian. Depending on the chosen derivative variables that are affected by this approach, different representations of the same dynamical system can be achieved. These theoretical investigations will be applied to a demonstrative example from mechanics.

Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/13873954.2016.1237968 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:nmcmxx:v:23:y:2017:i:1:p:89-103

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/NMCM20

DOI: 10.1080/13873954.2016.1237968

Access Statistics for this article

Mathematical and Computer Modelling of Dynamical Systems is currently edited by I. Troch

More articles in Mathematical and Computer Modelling of Dynamical Systems from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().