Non-optimality of conical parts for Newton's problem of minimal resistance in the class of convex bodies and the limiting case of infinite height

DOI10.1007/s00526-021-02118-yzbMath1494.49021arXiv2009.12128OpenAlexW4205302436MaRDI QIDQ2065063

Gerd Wachsmuth, M. I. Zelikin, L. V. Lokutsievskiy

Publication date: 7 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12128

zbMATH Keywords

optimalityminimal resistanceNewton problemnon-optimality

Mathematics Subject Classification ID

Newton-type methods (49M15) Methods of quasi-Newton type (90C53) Optimization of shapes other than minimal surfaces (49Q10) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (1)

Regularity in shape optimization under convexity constraint

Cites Work

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• Minimizing within Convex Bodies Using a Convex Hull Method
• The Calculus of Variations for Multiple Integrals
• 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

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