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MiS Preprint

On the geometric flows of Kirchhoff elastic rods

Chun-Chi Lin and Hartmut Schwetlick


Rod theory has been applied to the modelling of DNA and bacterial fibers in their mechanics aspects. In this paper, we relate a geometric functional of curves to the simplest Kirchhoff elastic energy of rods so that the generalized elastic curves are the centerlines of elastic rods in equilibrium. Then, under a mild assumption, we derive the long time existence of the length preserving evolution of the elastic rods.

MSC Codes:
35K55, 53C44, 74B20, 74L15
geometric flows, fourth order, kirchhoff elastic rods

Related publications

2005 Repository Open Access
Chun-Chi Lin and Hartmut R. Schwetlick

On the geometric flow of Kirchhoff elastic rods

In: SIAM journal on applied mathematics, 65 (2005) 2, pp. 720-736