On the flow of chemically reacting gaseous mixture

[摘要] We consider the Cauchy problem for the system of equations governing flow of isothermal reactive mixture of compressible gases. Our main contribution is to prove sequential stability of weak solutions when the state equation essentially depends on the species concentration and the viscosity coefficients vanish on vacuum. Moreover, under additional assumption on the cold component of the pressure in the regions of small density, we prove the existence of weak solutions for arbitrary large initial data. (C) 2012 Elsevier Inc. All rights reserved.

[发布日期] 2012-12-15

[关键词] Multicomponent flow;Chemically reacting gas;Compressible Navier-Stokes system;Weak solutions