On Newton’s problem of minimal resistance

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Sep 1993 English Publisher:Springer Science and Business Media LLCJournal:The Mathematical Intelligencer, volume 15, pages 7-12 (issn: 0343-6993,

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Authors: Buttazzo, Giuseppe; Kawohl, Bernhard;

doi: 10.1007/bf03024318 , 10.1007/978-1-4613-0195-0_23

On Newton’s problem of minimal resistance

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Abstract

In 1685, Sir Isaac Newton studied the motion of bodies through an inviscid and incompressible medium. In his words (from his Principia Mathematica): If in a rare medium, consisting of equal particles freely disposed at equal distances from each other, a globe and a cylinder described on equal diameter move with equal velocities in the direction of the axis of the cylinder, (then) the resistance of the globe will be half as great as that of the cylinder.... I reckon that this proposition will be not without application in the building of ships.

Related Organizations

University of Cologne
Germany
University of Pisa
Italy

Keywords

Variational inequalities

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