On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions

Abstract

We consider a model of chemically reacting heat conducting compressible mixture. We investigate the corresponding system of partial differential equations in the steady regime with slip boundary conditions for the velocity and, in dependence on the model parameters, we establish existence of either weak or variational entropy solutions.

The results extend the range of parameters for which the existence of weak solutions is known in the case of homogeneous Dirichlet boundary conditions for the velocity.

Keywords

• steady compressible Navier-Stokes-Fourier system
• weak solution
• variational entropy solution
• multicomponent diffusion flux
• Fick’s law
• entropy inequality