2004/04/09 by Alexander Yu. Plakhov, Delfim F. M. Torres
Mathematics · Physics and Astronomy · #math.OC #math-ph #math.MP #msc:49K05 #msc:49Q10 #msc:70F35 #msc:70H99
published as Proceedings of the 6th Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-11, 2004, pp. 488-493 · Accepted to the Proceedings of the Sixth Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-9, 2004
arxiv created 2004/04/09 · arxiv updated 2009/12/01
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.