Global existence of weak solutions for the multicomponent reaction flows

A multidimensional model is introduced for the dynamic reversible reaction of compressible multicomponent gaseous mixture. The purpose of this work is to develop a complete existence result in the case where the pressure depends only on the mixture composition and the barotropic correction without any additional assumption. The existence of globally weak solutions of the Navier–Stokes for multicomponent reaction flows is established by using weak convergence methods in the spirit of Mellet–Vasseur [14] and Li–Xin [12].