Evolution of closed elastic rods

  • Chun-Chi Lin (MPI MiS, Leipzig)
G3 10 (Lecture hall)


Rod theory has the application in the modelling of DNA and some bacterial fibers in the mechanical aspect. In this talk, 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. Under a mild assumption, we derive the long time existence of the total-length preserving evolution of the generalized elastic curves.