| Contents |
| I will present a model of motion of compressible mixture of chemically reacting species. Mathematical description of such flow leads to a hyperbolic deviation in the species mass conservation equations (the full Maxwell-Stefan system). The thermodynamics implies that the diffusion terms are non-symmetric, non positively defined, and cross-diffusion effects must be strongly marked. We consider a special form of density-dependent viscosity coefficients and a singular behavior of the cold component of the internal pressure near vacuum. Under these hypotheses we prove global-in-time existence of weak solutions. |
|