A note on Newton's problem of minimal resistance for convex bodies

DOI10.1007/s00526-020-01833-2zbMath1448.49012arXiv1908.01042OpenAlexW3086324145WikidataQ115387048 ScholiaQ115387048MaRDI QIDQ2204086

Alexander Plakhov

Publication date: 2 October 2020

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

Full work available at URL: https://arxiv.org/abs/1908.01042

zbMATH Keywords

convex geometryminimization in classes of convex functionsNewton's problem of minimal resistance

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (3) dimensions (including convex surfaces) (52A15)

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 ⋮ 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

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