Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature
最优化与控制
2007-05-23 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0404194,
title = {Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature},
author = {Alexander Yu. Plakhov and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0404194},
year = {2007}
}
备注
Accepted to the Proceedings of the Sixth Portuguese Conference on Automatic Control - Controlo 2004, Faro, Portugal, June 7-9, 2004