MULTICOMPONENT MIXTURE MODEL: THE ISSUE OF EXISTENCE VIA TIME DISCRETIZATION

作者：Zatorska Ewelina^*; Mucha Piotr Boguslaw

来源：Communications in Mathematical Sciences, 2015, 13(8): 1975-2003.

DOI：10.4310/CMS.2015.v13.n8.a2

• Weak solutions to compressible flows
• mixture models
• time discretization
• chemically reacting gases
• barotropic flows

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.

• 出版日期2015