Zatorska, E;
(2015)
Mixtures: Sequential Stability of Variational Entropy Solutions.
Journal of Mathematical Fluid Mechanics
, 17
(3)
pp. 437-461.
10.1007/s00021-015-0218-5.
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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.
| Type: | Article |
|---|---|
| Title: | Mixtures: Sequential Stability of Variational Entropy Solutions |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00021-015-0218-5 |
| Publisher version: | http://doi.org/10.1007/s00021-015-0218-5 |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2015. Open Access 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. |
| Keywords: | Primary 35B45, Secondary 35D40, 76N10, 35Q30 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10034981 |
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