Minimal Resistance of Curves under the Single Impact Assumption

DOI10.1137/140993843zbMath1326.49069arXiv1410.3736OpenAlexW897263107MaRDI QIDQ5264065

Arseniy V. Akopyan, Alexander Plakhov

Publication date: 20 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3736

zbMATH Keywords

shape optimizationNewton's problemminimal resistance curvessingle impact condition

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 (3)

A solution to Newton's least resistance problem is uniquely defined by its singular set ⋮ On the structure of singular points of a solution to Newton's least resistance problem ⋮ Method of nose stretching in Newton’s problem of minimal resistance

Cites Work

• On Newton's problem of minimal resistance
• Variational methods in shape optimization problems
• Newton's Problem of the Body of Minimal Resistance in the Class of Convex Developable Functions
• The Problem of Minimal Resistance for Functions and Domains
• A survey on the Newton problem of optimal profiles
• Functions and Domains Having Minimal Resistance Under a Single-Impact Assumption
• Minimum Problems over Sets of Concave Functions and Related Questions
• 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
• Unnamed Item

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