The minimal resistance problem in a class of non convex bodies

DOI10.1051/cocv/2018016zbMath1439.49078arXiv1707.06274OpenAlexW2963103505MaRDI QIDQ5107931

Edouard Oudet, Edoardo Mainini, Manuel Monteverde, Danilo Percivale

Publication date: 29 April 2020

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

Full work available at URL: https://arxiv.org/abs/1707.06274

zbMATH Keywords

shape optimizationNewton minimal resistance problem

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (4)

A solution to Newton's least resistance problem is uniquely defined by its singular set ⋮ A note on Newton's problem of minimal resistance for convex bodies ⋮ Euler's optimal profile problem ⋮ Method of nose stretching in Newton’s problem of minimal resistance

Cites Work

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• Minimizing within Convex Bodies Using a Convex Hull Method
• A symmetry problem in the calculus of variations
• Existence of minimizers for Newtons's problem of the body of minimal resistance under a single impact assumption
• Newton's problem of the body of minimal resistance under a single-impact assumption

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