Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions

Abstract

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. (C) 2014 WILEY-VCH Verlag GmbH & Co.

KGaA, Weinheim

Keywords

• Steady Navier-Stokes-Fourier system
• inflow boundary conditions
• strong solution
• small data