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Variational Analysis and Aerospace Engineering pp 33–48Cite as

A survey on the Newton problem of optimal profiles

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 33))

Abstract

This chapter aims to present a survey on some recent results about one of the first problems in the calculus of variations, namely Newton’s problem of minimal resistance. Many variants of the problem can be studied, in relation to the various admissible classes of domains under consideration and to the different constraints that can be imposed. Here we limit ourselves essentially to the convex case. Other presentations in the workshop will deal with other kinds of domains.

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Authors and Affiliations

  1. Dipartimento di Matematica, “L. Tonelli”, Università di Pisa, Pisa, Italy

    Giuseppe Buttazzo

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  1. Giuseppe Buttazzo
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Correspondence to Giuseppe Buttazzo .

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Buttazzo, G. (2009). A survey on the Newton problem of optimal profiles. In: Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol 33. Springer, New York, NY. https://doi.org/10.1007/978-0-387-95857-6_3

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