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

Alexander Yu. Plakhov·Delfim F. M. Torres
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Abstract

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.

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Alexander Yu. Plakhov, Delfim F. M. Torres. 2004-04-09. Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature. https://arxiv.org/abs/math/0404194

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