The problem of the body of revolution of minimal resistance

DOI10.1051/cocv:2008070zbMath1183.49039arXiv0804.4020OpenAlexW2139517488MaRDI QIDQ5189216

Alexander Plakhov, Alena Aleksenko

Publication date: 9 March 2010

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

Full work available at URL: https://arxiv.org/abs/0804.4020

zbMATH Keywords

billiardscalculus of variationsNewton's problembodies of minimal resistance

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)

Cites Work

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• On Newton's problem of minimal resistance
• Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
• Newton's problem of the body of minimal resistance with a bounded number of collisions
• Minimum Problems over Sets of Concave Functions and Related Questions
• Minimizing within Convex Bodies Using a Convex Hull Method
• Newton's aerodynamic problem in media of chaotically moving particles
• A symmetry problem in the calculus of variations
• An example of non-convex minimization and an application to Newton's problem of the body of least resistance
• 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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