On the asymptotic behavior of the conjugate problem describing a creeping axisymmetric thermocapillary motion
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 26-36.

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In this paper the conditions for the law of temperature behavior on a solid cylinder wall describes, under which the solution of a linear conjugate inverse initial-boundary value problem describing a two-layer axisymmetric creeping motion of viscous heat-conducting fluids tends to zero exponentially with increases of time.
Keywords: the conjugate nonlinear inverse problem, a crawling motion.
Mots-clés : interface
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Victor K. Andreev; Evgeniy P. Magdenko. On the asymptotic behavior of the conjugate problem describing a creeping axisymmetric thermocapillary motion. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 13 (2020) no. 1, pp. 26-36. http://geodesic.mathdoc.fr/item/JSFU_2020_13_1_a1/

[1] V.K. Andreev, E.P. Magdenko, Journal of Siberian Federal University. Mathematics $\$ Physics, 12:4 (2019), 1–13 | DOI

[2] McGraw-Hill, 1953

[3] A.P. Prudnikov, Y.A. Bychkov, O.I. Marichev, Integrals and series. Special functions, Nauka, M., 1983 (in Russian) | MR | Zbl