Problems of Minimal and Maximal Aerodynamic Resistance.
This is a review of results recently obtained by the author, related to problems of the body of minimal and maximal resistance. The cases of purely translational motion, as well as rotational and translational motions, are considered. The notions of rough body and law of scattering on a body are discussed. Connections with the Monge–Kantorovich problem of optimal mass transportation are revealed, and applications to the Magnus effect and retroreflectors are discussed.
KeywordsConvex Body Translational Motion Isosceles Triangle Solar Sail Minimal Resistance
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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 and by FCT (research project PTDC/MAT/72840/2006).
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