Kirchhoff elastic rods in a Riemannian manifold

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概要

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• Imagine a thin elastic rod like a piano wire. We consider the situation that the elastic rod is bent and twisted and both ends are welded together to form a smooth loop. Then, does there exist a stable equilibrium? In this paper, we generalize the energy of uniform symmetric Kirchhoff elastic rods in the 3-dimensional Euclidean space to consider such a variational problem in a Riemannian manifold. We give the existence and regularity of minimizers of the energy in a compact or homogeneous Riemannian manifold.

• 東北大学の論文
• 2002-06-00

著者

• Kawakubo Satoshi

  Department Of Applied Mathematics Faculty Of Sciences Fukuoka University

• Kawakubo Satoshi

  Departmentof Mathematics Graduate School Of Science Osakauniversity

関連論文

• Kirchhoff elastic rods in the three-sphere
• Kirchhoff elastic rods in a Riemannian manifold

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