42 citations · 161 across the 33 of their papers we have counts for
37 papers
Isoperimetric problem for quasi-Finsler metrics and shapes of least aerodynamic resistance
Lev Lokutsievskiy, Alexander Plakhov
We consider the following model in the framework of Newtonian aerodynamics: a 2D convex body moves forward and slowly oscillates in a rarefied medium on the plane. The law of oscil…
The problem of optimal camouflaging
Alexander Plakhov, Vera Roshchina
We consider the problem of camouflaging for bodies with specular surface in the framework of geometric optics. The index of visibility introduced in [Plakhov 2017] measures the mea…
Rotating rod and ball
Sergey Kryzhevich, Alexander Plakhov
We consider a mechanical system consisting of an infinite rod (a straight line) and a ball (a massless point) on the plane. The rod rotates uniformly around one of its points. The…
Local structure of convex surfaces near regular and conical points
Alexander Plakhov
Consider a point on a convex surface in , and a plane of support to the surface at this point. Draw a plane parallel to cutting a part of the surfac…
On the structure of singular points of a solution to Newton's least resistance problem
Alexander Plakhov
We consider the following problem stated in 1993 by Buttazzo and Kawohl: minimize the functional in the class of concave functi…
Open problems on billiards and geometric optics
M. Bialy, C. Fierobe, A. Glutsyuk +3
This is a collection of open problems from workshop "Differential Geometry, Billiards, and Geometric Optics" at CIRM on October 4-8, 2021.