Billiard scattering on rough sets: two-dimensional case

Bibliographic Details
Main Author: Plakhov, Alexander
Publication Date: 2009
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/6308
Summary: 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.
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spelling Billiard scattering on rough sets: two-dimensional casebilliardsscattering on rough surfacesMonge–Kantorovich optimal mass transportationproblems of minimal and maximal resistanceshape optimizationThe 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.2012-02-14T10:24:30Z2009-01-01T00:00:00Z2009info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/6308eng0036-141010.1137/070709700Plakhov, Alexanderinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:38:08Zoai:ria.ua.pt:10773/6308Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:41:27.033399Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Billiard scattering on rough sets: two-dimensional case
title Billiard scattering on rough sets: two-dimensional case
spellingShingle Billiard scattering on rough sets: two-dimensional case
Plakhov, Alexander
billiards
scattering on rough surfaces
Monge–Kantorovich optimal mass transportation
problems of minimal and maximal resistance
shape optimization
title_short Billiard scattering on rough sets: two-dimensional case
title_full Billiard scattering on rough sets: two-dimensional case
title_fullStr Billiard scattering on rough sets: two-dimensional case
title_full_unstemmed Billiard scattering on rough sets: two-dimensional case
title_sort Billiard scattering on rough sets: two-dimensional case
author Plakhov, Alexander
author_facet Plakhov, Alexander
author_role author
dc.contributor.author.fl_str_mv Plakhov, Alexander
dc.subject.por.fl_str_mv billiards
scattering on rough surfaces
Monge–Kantorovich optimal mass transportation
problems of minimal and maximal resistance
shape optimization
topic billiards
scattering on rough surfaces
Monge–Kantorovich optimal mass transportation
problems of minimal and maximal resistance
shape optimization
description 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.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2009
2012-02-14T10:24:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/6308
url http://hdl.handle.net/10773/6308
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0036-1410
10.1137/070709700
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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