Billiards and two-dimensional problems of optimal resistance

DOI10.1007/s00205-008-0137-1zbMath1273.76364arXivmath/0607129OpenAlexW2165020322MaRDI QIDQ1041129

Alexander Plakhov

Publication date: 30 November 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607129

zbMATH Keywords

rotating bodiesMonge-Kantorovich problems

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items (9)

The problem of camouflaging via mirror reflections ⋮ 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 ⋮ Rotating rod and ball ⋮ Billiard in a rotating half-plane ⋮ A note on Newton's problem of minimal resistance for convex bodies ⋮ Problems of optimal transportation on the circle and their mechanical applications ⋮ Problems of Minimal and Maximal Aerodynamic Resistance. ⋮ Method of nose stretching in Newton’s problem of minimal resistance

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• 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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