On the structure of singular points of a solution to Newton's least resistance problem

DOI10.1007/s10883-022-09616-yzbMath1530.49009arXiv2203.14235OpenAlexW4296965658MaRDI QIDQ6145727

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Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14235

zbMATH Keywords

convex geometryNewton's problem of least resistancesingular points of a convex body

Mathematics Subject Classification ID

Variational inequalities (49J40) Optimization of shapes other than minimal surfaces (49Q10) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Cites Work

• The numerical solution of Newton's problem of least resistance
• Problems of optimal transportation on the circle and their mechanical applications
• Billiards and two-dimensional problems of optimal resistance
• On Newton's problem of minimal resistance
• A note on Newton's problem of minimal resistance for convex bodies
• Problems of Minimal Resistance and the Kakeya Problem
• Exterior Billiards
• Minimum Problems over Sets of Concave Functions and Related Questions
• Method of nose stretching in Newton’s problem of minimal resistance
• On generalized Newton’s aerodynamic problem
• Minimal Resistance of Curves under the Single Impact Assumption
• 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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