Thanks to found radial solutions of polynomial partial differential equations, the uniqueness of the Stokes hydrodynamic solution has been proven for the problem of calculating the resistance force of a sphere in a viscous medium.
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References
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Butterworth-Heinemann, London (1987).
O. A. Ladyzhenskaya, Mathematical Questions of the Dynamics of a Viscous Incompressible Liquid [in Russian], Nauka, Moscow (1970).
H. Lamb, Hydrodynamics, Dover Publications, New York (1945).
G. Birkhoff, Hydrodynamics, Princeton University Press, Princeton (2016).
M. Ye. Deych, Technical Gas Dynamics, Wright-Patterson Air Force Base, Ohio – AF Systems Command (1961).
N. E. Kochin, I. A. Kibel’, and N. V. Roze, Theoretical Hydrodynamics [in Russian], Fizmatlit, Moscow (1963).
G. P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Springer Monographs in Mathematics, Springer, New York (2011).
S. O. Gladkov, Int. J. Math. Mod. Methods Appl. Sci., 9, 166–170 (2015).
S. O. Gladkov, Pis’ma Zh. Tekh. Fiz., 31, No. 2, 71–75 (2005).
S. O. Gladkov, Russ. Phys. J., 59, No. 8, 1268–1273 (2016).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 103–105, June, 2018.
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Gladkov, S.O. On One Proof of the Uniqueness of the Stokes Hydrodynamic Solution. Russ Phys J 61, 1117–1120 (2018). https://doi.org/10.1007/s11182-018-1504-5
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DOI: https://doi.org/10.1007/s11182-018-1504-5