Billiard scattering on rough sets: two-dimensional case

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dc.creatorPlakhov, Alexander
dc.date2007-11-05
dc.date.accessioned2026-07-07T08:40:42Z
dc.date.available2026-07-07T08:40:42Z
dc.descriptionThe 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.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0711.0616
dc.identifierhttp://arxiv.org/abs/0711.0616
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141445
dc.subjectDynamical Systems
dc.subjectOptimization and Control
dc.subject37N05, 49K30, 49Q10
dc.titleBilliard scattering on rough sets: two-dimensional case
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