Geodesic
Optimal velocity distributions in the design of supercavitating hydrofoils
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2023), pp. 71-77

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In the paper, the proofs of theorems formulated in the work by S.E. Gazizova, D.V. Maklakov (LJM, 42 (8), 2021) are sketched out. The theorems serve as a basis for designing supercavitating hydrofoils that have a minimum drag coefficient for a given lift coefficient. Thus, the maximum lift-to-drag ratio is achieved.
Keywords: nonlinear functional, absolute minimum, Jensen's inequality. 
@article{IVM_2023_8_a7,
     author = {D. V. Maklakov and S. E. Gazizova and I. R. Kayumov},
     title = {Optimal velocity distributions in the design of supercavitating hydrofoils},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {71--77},
     publisher = {mathdoc},
     number = {8},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_8_a7/}
}
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D. V. Maklakov; S. E. Gazizova; I. R. Kayumov. Optimal velocity distributions in the design of supercavitating hydrofoils. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2023), pp. 71-77. http://geodesic.mathdoc.fr/item/IVM_2023_8_a7/