Existence, regularity and structure of confined elasticae

DOI10.1051/cocv/2016073zbMath1397.49020arXiv1508.05785OpenAlexW2963703993MaRDI QIDQ3177907

François Dayrens, Simon Masnou, Matteo Novaga

Publication date: 2 August 2018

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05785

zbMATH Keywords

minimizationelastic energybending energyconfined curves

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (13)

Polar tangential angles and free elasticae ⋮ Overhanging of membranes and filaments adhering to periodic graph substrates ⋮ Total roto-translational variation ⋮ Some minimization problems for planar networks of elastic curves ⋮ An Obstacle Problem for Elastic Graphs ⋮ Numerical analysis of elastica with obstacle and adhesion effects ⋮ The elastic flow with obstacles: small obstacle results ⋮ On gradient flows with obstacles and Euler's elastica ⋮ Boundary value problems for Euler-Bernoulli planar elastica. A solution construction procedure ⋮ Elastic networks, statics and dynamics ⋮ Elastic curves and phase transitions ⋮ The critical points of the elastic energy among curves pinned at endpoints ⋮ An obstacle problem for elastic curves: existence results

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