Euler-Lagrange equations for variational problems on space curves

Peter Hornung

Research output: Contribution to journalArticle

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 languageEnglish
Article number066603
JournalPhysical Review E
Volume81
Issue number6
DOIs
Publication statusPublished - 28 Jun 2010

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Euler-Lagrange equation
Space Curve
Euler-Lagrange Equations
Variational Problem
equilibrium equations
curves
Moment
Internal
moments
Generalise
Curve
Form
Class

Cite this

Euler-Lagrange equations for variational problems on space curves. / Hornung, Peter.

In: Physical Review E, Vol. 81, No. 6, 066603, 28.06.2010.

Research output: Contribution to journalArticle

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