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 Billiard scattering on rough sets: two-dimensional case
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6308

title: Billiard scattering on rough sets: two-dimensional case
authors: 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.
URI: http://hdl.handle.net/10773/6308
ISSN: 0036-1410
publisher version/DOI: http://dx.doi.org/10.1137/070709700
source: SIAM Journal on Mathematical Analysis
appears in collectionsCIDMA - Artigos

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