Billiard scattering on rough sets: two-dimensional case

Details Billiard scattering on rough sets: two-dimensional case Billiard scattering on rough sets: two-dimensional case

2007-11-05

arxiv.org/abs/0711.0616v1

Mathematics

Dynamical Systems

35 pages

Scientific paper

The notion of a rough two-dimensional (convex) body is introduced, and to
each rough body there is assigned a measure on $\TTT^3$ describing billiard
scattering on the body. The main result is characterization of the set of
measures generated by rough bodies. This result can be used to solve various
problems of least aerodynamical resistance.

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