Abstract

The purpose of this article is to briefly describe the recent results (including those of the author and his collaborators) obtained on the problem of least aerodynamic resistance for convex and nonconvex bodies, for the case of translation and for motion with rotation, as well as on the free motion of bodies within the framework of Newtonian aerodynamics.

Author information

Contact details are reproduced from the original publication and may be historical.

Alexander Plakhov

(1) Center for R&D in Mathematics and Applications, University of Aveiro, Portugal
(2) Institute for Information Transmission Problems, Russia

plakhov@ua.pt

Keywords

  • Newton's aerodynamic problem
  • single impact condition
  • optimal mass transport
  • Kakeya needle problem
  • Magnus effect
  • spinning rough disc
  • free motion of bodies

Mathematics Subject Classification

37N05, 49K30, 49Q10

Suggested citation

A. Plakhov. “The magic and mystery of Newton's least resistance problem.” Journal of Convex Analysis 34 (2027), No. 1, 504–513. https://doi.org/10.68381/jca34033

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