Chemically reacting mixtures in terms of degenerated parabolic setting

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...

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Veröffentlicht in:Journal of mathematical physics 2013-07, Vol.54 (7), p.1
Hauptverfasser: Mucha, P. B., Pokorný, M., Zatorska, E.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4811564