2017
Том 69
№ 9

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

Moseenkov V. B.

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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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 5, pp 558-571.

Citation Example: Moseenkov V. B. Three-dimensional initial boundary-value problem of the convection of a viscous weakly compressible fluid. I. Global solvability // Ukr. Mat. Zh. - 1994. - 46, № 5. - pp. 524–536.

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