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Title: Billiard scattering on rough sets: two-dimensional case
Author: Plakhov, Alexander
Keywords: billiards
scattering on rough surfaces
Monge–Kantorovich optimal mass transportation
problems of minimal and maximal resistance
shape optimization
Issue Date: 2009
Abstract: The notion of a rough two-dimensional (convex) body is introduced, and to each rough body there is assigned a measure on T3 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.
Peer review: yes
DOI: 10.1137/070709700
ISSN: 0036-1410
Appears in Collections:CIDMA - Artigos

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