Strong solutions to the Navier-Stokes-Fourier system with slip-inflow   boundary conditions
  We consider a system of partial differential equations describing the steady flow of a compressible heat conducting Newtonian fluid in a three-dimensional channel with inflow and outflow part. We show the existence of a strong solution provided the data are close to a constant, but nontrivial flow with sufficiently large dissipation in the energy equation. 
Tomasz Piasecki and Milan Pokorny
math.AP