Chemically reacting mixtures in terms of degenerated parabolic setting Chemically reacting mixtures in terms of degenerated parabolic setting

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 equations 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