Elastic knots in Euclidean 3-space

DOI10.1016/S0294-1449(99)80010-9zbMath0935.49023MaRDI QIDQ1284416

Heiko von der Mosel

Publication date: 4 May 2000

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_2_137_0

zbMATH Keywords

curvature functionalsclosed knotted curvesexistence in isotopy classes

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04)

Related Items (5)

Knots with equal bridge index and braid index ⋮ On rectifiable curves with \(L^{p}\)-bounds on global curvature: self-avoidance, regularity, and minimizing knots ⋮ The elastic trefoil is the doubly covered circle ⋮ Matched asymptotic expansions for twisted elastic knots: a self-contact problem with non-trivial contact topology ⋮ Sobolev gradients for the Möbius energy

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