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http://hdl.handle.net/10773/15146
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Plakhov, Alexander | pt |
dc.contributor.author | Roshchina, Vera | pt |
dc.date.accessioned | 2016-02-04T18:18:04Z | - |
dc.date.available | 2016-02-04T18:18:04Z | - |
dc.date.issued | 2013-04 | - |
dc.identifier.issn | 1078-0947 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15146 | - |
dc.description.abstract | We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these directions. Moreover, there exists a three-dimensional fractal body invisible in three orthogonal directions. The work continues the previous study in [1, 12], where two-dimensional bodies invisible in one direction and three dimensional bodies invisible in one and two orthogonal directions were constructed. | pt |
dc.language.iso | eng | pt |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | pt |
dc.relation | PEst-C/MAT/UI4106/2011 | pt |
dc.relation | PTDC/MAT/113470/2009 | pt |
dc.rights | openAccess | por |
dc.subject | Invisibility in geometrical optics | pt |
dc.subject | Problems of minimal resistance | pt |
dc.subject | Billiards | pt |
dc.title | Fractal bodies invisible in 2 and 3 directions | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 1615 | pt |
degois.publication.issue | 4 | pt |
degois.publication.lastPage | 1631 | pt |
degois.publication.title | Discrete and Continuous Dynamical Systems - Series A | pt |
degois.publication.volume | 33 | pt |
dc.identifier.doi | 10.3934/dcds.2013.33.1615 | pt |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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InvisibleFractal04.pdf | Documento principal | 747.93 kB | Adobe PDF | View/Open |
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