Euler-Lagrange equations for variational problems on space curves

Peter Hornung

doi:10.1103/PhysRevE.81.066603

Euler-Lagrange equations for variational problems on space curves

Peter Hornung

Department of Mathematical Sciences

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We derive the Euler-Lagrange equations for a large class of variational problems on curves. Our result generalizes a recent result obtained in the literature. Moreover, it is simple and self-contained. It directly yields Euler-Lagrange equations in the form of equilibrium equations for the internal force and moment.

Original language	English
Article number	066603
Journal	Physical Review E
Volume	81
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.81.066603
Publication status	Published - 28 Jun 2010

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Projects

1 Finished

THE VARIATIONAL APPROACH TO BIHARMONIC MAPS

Moser, R.

Engineering and Physical Sciences Research Council

1/09/09 → 28/02/13

Project: Research council

Cite this

Hornung, P. (2010). Euler-Lagrange equations for variational problems on space curves. Physical Review E, 81(6), [066603]. https://doi.org/10.1103/PhysRevE.81.066603

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