Special Session 7: 

Steady flows of dense compressible fluids

Simon Axmann
Charles University
Czech Rep
Co-Author(s):    Milan Pokorn\`{y}
We study the existence of strong solutions to the model describing the steady flow of compressible heat-conducting chemically reacting mixture under the additional assumption that the fluid is sufficiently dense. The diffusion is supposed to be driven by Fick`s law. We work in the $L^p$-setting combining the methods for the weak solutions with the method of decomposition. The result is a generalization of our previous work concerning the case of single-constituted fluid.