Global Unique Solvability of the Initial-Boundary Value Problem for One-Dimensional Barotropic Equations of Viscous Compressible Bifluids
Analysis of PDEs
2020-12-30 v1
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.
Keywords
Cite
@article{arxiv.2003.09161,
title = {Global Unique Solvability of the Initial-Boundary Value Problem for One-Dimensional Barotropic Equations of Viscous Compressible Bifluids},
author = {Alexander Mamontov and Dmitriy Prokudin},
journal= {arXiv preprint arXiv:2003.09161},
year = {2020}
}
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23 pages