Publication
Problems of maximal mean resistance on the plane
| dc.contributor.author | Plakhov, Alexander | |
| dc.contributor.author | Gouveia, Paulo D.F. | |
| dc.date.accessioned | 2010-02-01T21:39:47Z | |
| dc.date.available | 2010-02-01T21:39:47Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | A two-dimensional body moves through a rarefied medium; the collisions of the medium particles with the body are absolutely elastic.The body performs both translational and slow rotational motion. It is required to select the body, from a given class of bodies, such that the average force of resistance of the medium to its motion is maximal. There are presented numerical and analytical results concerning this problem. In particular, the maximum resistance in the class of bodies contained in a convex body K is proved to be 1.5 times resistance of K. The maximum is attained on a sequence of bodies with very complicated boundary. The numerical study was made for somewhat more restricted classes of bodies. The obtained values of resistance are slightly lower, but the boundary of obtained bodies is much simpler, as compared to the analytical solutions. | pt |
| dc.description.sponsorship | This work was supported by Centre for Research on Optimization and Control (CEOC) from the ”Fundação para a Ciência e a Tecnologia ” (FCT), cofinanced by the European Community Fund FEDER/POCTI. | |
| dc.identifier.citation | Plakhov, Alexander; Gouveia, Paulo D.F. (2007). Problems of maximal mean resistance on the plane. Nonlinearity. ISSN 1361-6544. 20:9, p. 2271-2287 | pt |
| dc.identifier.doi | 10.1088/0951-7715/20/9/013 | |
| dc.identifier.issn | 1361-6544 | |
| dc.identifier.uri | http://hdl.handle.net/10198/1647 | |
| dc.language.iso | eng | pt |
| dc.publisher | IOP | pt |
| dc.subject | Bodies of maximal resistance | pt |
| dc.subject | Shape optimization | pt |
| dc.subject | Billiards | pt |
| dc.subject | Numerical simulation | pt |
| dc.subject | Newton-like aerodynamic problem | pt |
| dc.title | Problems of maximal mean resistance on the plane | pt |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 2287 | pt |
| oaire.citation.startPage | 2271 | pt |
| oaire.citation.title | Nonlinearity | pt |
| person.familyName | Gouveia | |
| person.givenName | Paulo D.F. | |
| person.identifier.orcid | 0000-0003-3049-6230 | |
| person.identifier.scopus-author-id | 20433578000 | |
| rcaap.rights | openAccess | pt |
| rcaap.type | article | pt |
| relation.isAuthorOfPublication | 41c37437-90c4-4e40-893b-44fe4ae1f159 | |
| relation.isAuthorOfPublication.latestForDiscovery | 41c37437-90c4-4e40-893b-44fe4ae1f159 |