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An initial-boundary value problem on the convection of a viscous weakly compressible fluid with axial symmetry. I. Unique solvability in the large

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Abstract

An initial-boundary value problem on the convection of a viscous, thermally inhomogeneous, weakly compressible fluid which fills a cavity in a solid is studied. A theorem concerning its unique solvability in the large (in time) is proved. A convergent iteration process of a special form for solving the problem is proposed.

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Literature cited

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    V. B. Moseenkov

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  1. V. B. Moseenkov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1664–1672, December, 1990.

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Moseenkov, V.B. An initial-boundary value problem on the convection of a viscous weakly compressible fluid with axial symmetry. I. Unique solvability in the large. Ukr Math J 42, 1498–1506 (1990). https://doi.org/10.1007/BF01060821

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  • DOI: https://doi.org/10.1007/BF01060821

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