Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids

A. E. Mamontov; D. A. Prokudin

doi:10.1088/1742-6596/1666/1/012032

Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Article number	012032
Journal	Journal of Physics: Conference Series
Volume	1666
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1666/1/012032
Publication status	Published - 20 Nov 2020
Event	9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics - Novosibirsk, Russian Federation Duration: 7 Sep 2020 → 11 Sep 2020

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10.1088/1742-6596/1666/1/012032

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title = "Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids",

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.",

author = "Mamontov, {A. E.} and Prokudin, {D. A.}",

note = "Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 9th International Conference on Lavrentyev Readings on Mathematics, Mechanics and Physics ; Conference date: 07-09-2020 Through 11-09-2020",

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AU - Prokudin, D. A.

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AB - 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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DO - 10.1088/1742-6596/1666/1/012032

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VL - 1666

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