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Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability

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Abstract

By using asymptotic methods, we study the three-dimensional initial boundary-value problem of the convection of a viscous thermally inhomogeneous weakly compressible fluid which fills a cavity in a solid body. A theorem about the global solvability of this problem (with respect to time) is proved. For solving this problem, we suggest a convergent iteration process of a special form.

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Authors and Affiliations

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

    V. B. Moseenkov

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  1. V. B. Moseenkov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 524–536, May, 1994.

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Moseenkov, V.B. Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability. Ukr Math J 46, 558–571 (1994). https://doi.org/10.1007/BF01058519

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  • DOI: https://doi.org/10.1007/BF01058519

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