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arXiv · 2003.09161

Global Unique Solvability of the Initial-Boundary Value Problem for One-Dimensional Barotropic Equations of Viscous Compressible Bifluids

Alexander Mamontov·Dmitriy Prokudin
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Abstract

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

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Alexander Mamontov, Dmitriy Prokudin. 2020-03-20. Global Unique Solvability of the Initial-Boundary Value Problem for One-Dimensional Barotropic Equations of Viscous Compressible Bifluids. https://doi.org/10.1088/1742-6596/1666/1/012032

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