Mixtures: Sequential Stability of Variational Entropy Solutions
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Author(s)
Zatorska, E
Type
Journal Article
Abstract
The purpose of this work is to analyze the mathematical model governing motion of n-component, heat conducting reactive mixture of compressible gases. We prove sequential stability of weak variational entropy solutions when the state equation essentially depends on the species concentration and the species diffusion fluxes depend on gradients of partial pressures. Of crucial importance for our analysis is the fact that viscosity coefficients vanish on vacuum and the source terms enjoy the admissibility condition dictated by the second law of thermodynamics.
Date Issued
2015-07-11
Date Acceptance
2015-04-09
Citation
Journal of Mathematical Fluid Mechanics, 2015, 17 (3), pp.437-461
ISSN
1422-6928
Publisher
Springer Verlag
Start Page
437
End Page
461
Journal / Book Title
Journal of Mathematical Fluid Mechanics
Volume
17
Issue
3
Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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Subjects
math.AP
General Mathematics
01 Mathematical Sciences
09 Engineering
02 Physical Sciences
Publication Status
Published