Geodesic
On minimization of cavitational resistance of hydroprofile
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 80-86

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In this paper, for profiles flowed according to the Helmholtz–Kirchhoff scheme with infinite cavern, we investigate values of coefficients of levitation force and of resistance related to a length of washed part of the profile. Under given value of coefficient of levitation force and additional restrictions from above and below on a distribution of a speed on a surface of a profile we find global minimum of coefficient of resistance.
Keywords: extremal problem, ideal fluid, Helmholtz–Kirchhoff scheme, cavitation flow. 
@article{IVM_2015_11_a7,
     author = {I. R. Kayumov and D. V. Maklakov},
     title = {On minimization of cavitational resistance of hydroprofile},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--86},
     publisher = {mathdoc},
     number = {11},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/}
}
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I. R. Kayumov; D. V. Maklakov. On minimization of cavitational resistance of hydroprofile. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 80-86. http://geodesic.mathdoc.fr/item/IVM_2015_11_a7/