Multicomponent Mixture Model. The Issue of Existence via Time Discretization Multicomponent Mixture Model. The Issue of Existence via Time Discretization

Abstract We prove the existence of global-in-time weak solutions to a model of chemically reacting mixture. We consider a coupling between the compressible Navier-Stokes system and the reaction diffusion equations for chemical species when the thermal effects are neglected. We first prove the existence of weak solutions to the semi-discretization in time. Based of this, the existence of solutions to the evolutionary system is proved