Retroreflecting Curves in Nonstandard Analysis

dc.contributor.author	Almeida, R.
dc.contributor.author	Neves, V.
dc.contributor.author	Plakhov, A.
dc.date.accessioned	2016-09-30T06:15:53Z
dc.date.available	2016-09-30T06:15:53Z
dc.date.issued	2009
dc.identifier.citation	Retroreflecting Curves in Nonstandard Analysis / R. Almeida, V. Neves, A. Plakhov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 1. — С. 12-24. — Бібліогр.: 7 назв. — англ.	uk_UA
dc.identifier.issn	1812-9471
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/106530
dc.description.abstract	We present a direct construction of retroreflecting curves by means of Nonstandard Analysis. We construct non self-intersecting curves which are of class C¹, except for a hyper-finite set of values, such that the probability of a particle being reflected from the curve with the velocity opposite to the velocity of incidence, is infinitely close to 1. The constructed curves are of two kinds: a curve infinitely close to a straight line and a curve infinitely close to the boundary of a bounded convex set. We shall see that the latter curve is a solution of the problem: find the curve of maximum resistance in nitely close to a given curve.	uk_UA
dc.description.sponsorship	The work was supported by Centre for Research on Optimization and Control (CEOC) from the "Fundacao para a Ciencia e a Tecnologia" FCT, cofinanced by the European Community Fund FEDER/POCTI.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України	uk_UA
dc.relation.ispartof	Журнал математической физики, анализа, геометрии
dc.title	Retroreflecting Curves in Nonstandard Analysis	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA