Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature

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dc.creatorPlakhov, Alexander Yu.
dc.creatorTorres, Delfim F. M.
dc.date2004-04-09
dc.date.accessioned2026-07-07T05:07:19Z
dc.date.available2026-07-07T05:07:19Z
dc.descriptionWe study the Newton-like problem of minimal resistance for a two-dimensional body moving with constant velocity in a homogeneous rarefied medium of moving particles. The distribution of the particles over velocities is centrally symmetric. The problem is solved analytically; the minimizers are shown to be of four different types. Numerical results are obtained for the physically significant case of gaussian circular distribution of velocities, which corresponds to a homogeneous ideal gas of positive temperature.
dc.descriptionAccepted to the Proceedings of the Sixth Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-9, 2004
dc.identifierhttps://arxiv.org/abs/math/0404194
dc.identifierhttp://arxiv.org/abs/math/0404194
dc.identifierProceedings of the 6th Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-11, 2004, pp. 488-493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70814
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subject49K05; 49Q10; 70F35; 70H99
dc.titleTwo-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature
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