On a Multidimensional Model for the Dynamic Combustion of Compressible Reacting Flow

نویسندگان

  • DONATELLA DONATELLI
  • KONSTANTINA TRIVISA
چکیده

We consider a multidimensional model for the dynamic combustion of compressible reacting fluids formulated by the Navier Stokes equations in Euler coordinates. For the chemical model we consider a one way irreversible chemical reaction governed by the Arrhenius kinetics. The existence of globally defined weak solutions of the Navier-Stokes equations for compressible reacting fluids is established by using weak convergence methods, compactness and interpolation arguments in the spirit of Feireisl et al. [15], [16], [17], [18] and P.L. Lions [22].

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تاریخ انتشار 2004