Isoperimetric Inequalities for Moments of Inertia and Stability of Stationary Motions of a Flexible Thread

DOI10.20537/nd190410zbMath1475.53012OpenAlexW2999580083MaRDI QIDQ5112946

Valery V. Kozlov

Publication date: 9 June 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd678

zbMATH Keywords

moment of inertiaarticulated polygonSundman and Wirtinger inequalities

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Curves in Euclidean and related spaces (53A04) Statics (70C20)

Related Items (1)

On the non-integrability and dynamics of discrete models of threads

Cites Work

• Stationary shape of a moving heavy flexible thread
• A weighted isoperimetric inequality and applications to symmetrization
• Some isoperimetric inequalities with application to the Stekloff problem
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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