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

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We 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.
Accepted to the Proceedings of the Sixth Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-9, 2004

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Optimization and Control, Mathematical Physics, 49K05; 49Q10; 70F35; 70H99

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http://salesiana.dossiersoluciones.com/handle/123456789/70814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404194
 http://arxiv.org/abs/math/0404194
 Proceedings of the 6th Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-11, 2004, pp. 488-493

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