Stable and unstable elastica equilibrium and the problem of minimum curvature

DOI10.1016/0022-247X(76)90116-5zbMath0345.49003OpenAlexW2010209556MaRDI QIDQ1233198

Joseph W. Jerome, Stephen D. Fisher

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(76)90116-5

Mathematics Subject Classification ID

Variational principles of physics (49S05) Optimality conditions (49K99) Existence theories in calculus of variations and optimal control (49J99)

Related Items (11)

Elastic splines. II. Unicity of optimal s-curves and curvature continuity ⋮ Existence of free nonclosed Euler–Bernoulli elastica ⋮ Approximation by minimum norm interpolants in the disc algebra ⋮ Best approximations by smooth functions ⋮ Elastic splines III: existence of stable nonlinear splines ⋮ Modeling and Optimal Control of an Octopus Tentacle ⋮ Perfect splines and nonlinear optimal control theory ⋮ On pLg-splines ⋮ Smooth Interpolating Curves of Prescribed Length and Minimum Curvature ⋮ A holomorphic version of Landau's theorem ⋮ Shape-preserving, multiscale interpolation by univariate curvature-based cubic \(L_{1}\) splines in Cartesian and polar coordinates

Cites Work

• Smooth Interpolating Curves of Prescribed Length and Minimum Curvature
• Variational inequalities
• Simultaneous Interpolation and Approximation in Topological Linear Spaces
• Variational Study of Nonlinear Spline Curves
• Unnamed Item
• Unnamed Item

This page was built for publication: Stable and unstable elastica equilibrium and the problem of minimum curvature