Abstract
Under consideration is the inhomogeneous boundary value problem for the equations of a mixture of viscous compressible fluids modelling a steady flow around an obstacle. The statement of the problem presumes the possibility of varying the shape of obstacle. The well-posedness of such a problemin the class of strong solutions is proved. The results of the paper can be used for analyzing the optimal shape of an obstacle under a flow around it by a mixture of compressible viscous fluids.
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Original Russian Text © A.A. Zhalnina, N.A. Kucher, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 3, pp. 26–39.
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Zhalnina, A.A., Kucher, N.A. On the well-posedness of an inhomogeneous boundary value problem for the equations of mixtures of viscous compressible fluids. J. Appl. Ind. Math. 9, 598–610 (2015). https://doi.org/10.1134/S199047891504016X
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DOI: https://doi.org/10.1134/S199047891504016X