Geodesic
One nonlinear variational problem of the theory of cavitating profiles
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 90-96.

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In this paper we consider profiles with infinite cavity streamlined in accordance with the Helmholtz–Kirchhoff scheme. We study limit values of coefficients of the rising force and the resistance with respect to the length of the streamlined part of the profile. Namely, for a given value of the coefficient of the rising force we calculate the minimal and maximal values of the resistance coefficient and thus determine the maximal and minimal values of the hydrodynamic quality.
Keywords: extremal problem, ideal fluid, Helmholtz–Kirchhoff scheme, cavitation streamline flow, hydrodynamic quality. 
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D. V. Maklakov; I. R. Kayumov. One nonlinear variational problem of the theory of cavitating profiles. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 90-96. http://geodesic.mathdoc.fr/item/IVM_2012_12_a8/

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