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

@article{Piasecki2012StrongST,
  title={Strong solutions to the Navier–Stokes–Fourier system with slip–inflow boundary conditions},
  author={Tomasz Piasecki and Milan Pokorn{\'y}},
  journal={ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik},
  year={2012},
  volume={94}
}
  • T. Piasecki, M. Pokorný
  • Published 30 November 2012
  • Mathematics, Physics
  • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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. 
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