Euler-Lagrange equations for variational problems on space curves.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, United Kingdom.

Published: June 2010

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.

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http://dx.doi.org/10.1103/PhysRevE.81.066603DOI Listing

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