Literature cited
N. I. Muskhelishvili, Some Basic Problems in the Mathematical Theory of Elasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow (1954).
D. G. Jonescu, “La théorie des fonctions analytiques et l'hydrodynamique de liquides visqueux,” Proc. Internat. Symp. Applications of Function Theory to Mechanics of Continuous Media (September 17–23, 1963, Tbilisi), Vol. 2, Liquid and Gas Mechanics, Mathematical Methods [in Russian], Nauka, Moscow (1965).
S. M. Belonosov and K. A. Chernous, Boundary Problems for the Navier-Stokes Equations [in Russian], Nauka, Moscow (1985).
L. K. Antanovskii, “Complex representation of solutions of the Navier-Stokes equations,” Dokl. Akad. Nauk SSSR,261. No. 4 (1981).
L. K. Antanovskii, “Precise solutions of a problem with free boundary for the Stokes system,” Dokl. Akad. Nauk SSSR, 270, No. 5 (1983).
L. K. Antanovskii, “Isolated nature of solutions of a problem with free boundary for a Stokes system,” Dynamics of Continuous Media, 60th ed. [in Russian], Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1983).
L. K. Antanovskii, Methods of the Theory of Functions of a Complex Variable in the Hydrodynamics of a Viscous Liquid with Free Boundaries [in Russian], Novosibirsk, Dep. VINITI No. 2161-V, 03/28/86.
L. K. Antanovskii, “Boundary problems with free boundaries for the Stokes system on a plane,” Dokl. Akad. Nauk SSSR,290, No. 3 (1986).
V. I. Nalimov, “New model of the Cauchy-Poisson problem,” Dynamics of Continuous Media, 12th ed. [in Russian], Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1972).
V. A. Solonnikov, “On the unsettled motion of a finite liquid mass bounded by a free surface,” Zap. Nauchn. Sem. LOMI Akad. Nauk SSSR,152 (1986).
L. K. Antanovskii and B. K. Kopbosynov, “Nonsteady-state thermocapillary drift of a viscous liquid drop,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1986).
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Translated from Zhurnal Prikladnoi Mekhaniki i Technicheskoi Fiziki, No. 3, pp. 90–94, May–June, 1988.
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Antanovskii, L.K. Interphase boundary dynamics under the action of capillary forces. Quasisteady-state plane-parallel motion. J Appl Mech Tech Phys 29, 396–399 (1988). https://doi.org/10.1007/BF00853487
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DOI: https://doi.org/10.1007/BF00853487