42 citations · 161 across the 33 of their papers we have counts for
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math.DS2013
Motion of a rough disc in Newtonian aerodynamics
Sergey Kryzhevich
Dynamics of rough discs in a rarified media is considered. We study possible trajectories of centers of discs. The main result of the paper is the following: any finite rectifiable…
math.CA2013
The problem of minimal resistance for functions and domains
Alexander Plakhov
Here we solve the problem posed by Comte and Lachand-Robert in (2001). Take a bounded domain Ωin R^2 and a piecewise smooth non-positive function u : \barΩ \to R vanishing on the b…
math.DS2013★ 6 cited
Bodies with mirror surface invisible from two points
Alexander Plakhov, Vera Roshchina
Here we are concerned with a special issue of billiard invisibility, where a bounded set with a piecewise smooth boundary in Euclidean space is identified with a body with mirror s…