GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS
From MaRDI portal
Publication:2847598
DOI10.1017/S0004972712000767zbMath1277.49028MaRDI QIDQ2847598
Publication date: 11 September 2013
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
ordinary differential equationscalculus of variationsinitial-value problemsglobal solutionsKirchhoff elastic rods
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items
Extendability of Kirchhoff elastic rods in complete Riemannian manifolds, Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices
Cites Work
- Unnamed Item
- Kirchhoff elastic rods in higher-dimensional space forms
- Extremals of curvature energy actions on spherical closed curves
- The total squared curvature of closed curves
- Kirchhoff elastic rods in three-dimensional space forms
- Hopf tori in \(S^ 3\)
- On the dynamics of rods in the theory of Kirchhoff and Clebsch
- Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres
- Liouville integrability of geometric variational problems
- Closed generalized elastic curves in \({\mathbf S}^{2}\)(1).
- Curve-straightening in closed Euclidean submanifolds
- Kirchhoff elastic rods in a Riemannian manifold
- Kirchhoff elastic rods in the three-sphere
- BIMINIMAL IMMERSIONS
- QUADRATIC CURVATURE ENERGIES IN THE 2-SPHERE
- [https://portal.mardi4nfdi.de/wiki/Publication:3740681 Reduction for Constrained Variational Problems and � κ 2 2 ds]
- There is More than One Way to Frame a Curve
- 5.—Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods.
- Elastic rods, rigid bodies, quaternions and the last quadrature
- Knot Types, Homotopies and Stability of Closed Elastic Rods
- Towards a classification of Euler–Kirchhoff filaments
- Non-Euclidean Elastica
- Lagrangian Aspects of the Kirchhoff Elastic Rod
- Elastica in SO(3)
