Communications in Mathematical Sciences
Volume 13 (2015)
Multicomponent mixture model: the issue of existence via time discretization
Pages: 1975 – 2003
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 on this, the existence of solutions to the evolutionary system is proven.
weak solutions to compressible flows, mixture models, time discretization, chemically reacting gases, barotropic flows
2010 Mathematics Subject Classification
35B45, 35D30, 76N10