| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 15 | |
| Number of page(s) | 36 | |
| DOI | https://doi.org/10.1051/cocv/2019064 | |
| Published online | 14 February 2020 | |
The analytical solution of Newton’s aerodynamic problem in the class of bodies with vertical plane of symmetry and developable side boundary*
1
Steklov Mathematical Institute of Russian Academy of Sciences, Lomonosov Moscow State University,
Moscow, Russia.
2
Lomonosov Moscow State University,
Moscow, Russia.
** Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
31
May
2019
Accepted:
15
October
2019
Abstract
The method of Hessian measures is used to find the differential equation that defines the optimal shape of nonrotationally symmetric bodies with minimal resistance moving in a rare medium. The synthesis of optimal solutions is described. A theorem on the optimality of the obtained solutions is proved.
Mathematics Subject Classification: 49N99
This work is financially supported by RFBR grant 20-01-00469.
© EDP Sciences, SMAI 2020
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