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Global Unique Solvability of an Initial-Boundary Value Problem for the One-Dimensional Barotropic Equations of Binary Mixtures of Viscous Compressible Fluids

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Abstract

We consider the equations of a multivelocity model of a binary mixture of viscous compressible fluids (the two-fluid medium) in the case of one-dimensional barotropic motions. We prove the time global existence and uniqueness of a strong solution to the initial-boundary value problem describing the motion in a bounded space domain.

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Funding

The authors were supported by the Russian Science Foundation (project no. 19–11–00069).

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Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia

    A. E. Mamontov & D. A. Prokudin

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  1. A. E. Mamontov
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  2. D. A. Prokudin
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Correspondence to A. E. Mamontov or D. A. Prokudin.

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Translated by B.L. Vertgeim

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Mamontov, A.E., Prokudin, D.A. Global Unique Solvability of an Initial-Boundary Value Problem for the One-Dimensional Barotropic Equations of Binary Mixtures of Viscous Compressible Fluids. J. Appl. Ind. Math. 15, 50–61 (2021). https://doi.org/10.1134/S1990478921010051

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  • DOI: https://doi.org/10.1134/S1990478921010051

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