Mucha, PB;
Pokorný, M;
Zatorska, E;
(2013)
Chemically reacting mixtures in terms of degenerated parabolic setting.
Journal of Mathematical Physics
, 54
(7)
, Article 071501. 10.1063/1.4811564.
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Abstract
The paper analyzes basic mathematical questions for a model of chemically reacting mixtures. We derive a model of several (finite) component compressible gas taking rigorously into account the thermodynamical regime. Mathematical description of the model leads to a degenerate parabolic equation with hyperbolic deviation. The thermodynamics implies that the diffusion terms are non-symmetric, not positively defined, and cross-diffusion effects must be strongly marked. The mathematical goal is to establish the existence of weak solutions globally in time for arbitrary number of reacting species. A key point is an entropy-like estimate showing possible renormalization of the system. © 2013 AIP Publishing LLC.
| Type: | Article |
|---|---|
| Title: | Chemically reacting mixtures in terms of degenerated parabolic setting |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1063/1.4811564 |
| Publisher version: | http://dx.doi.org/10.1063/1.4811564 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL 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/10034986 |
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