# Article

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Keywords:
steady compressible Navier-Stokes-Fourier system; weak solution; entropy inequality; Orlicz spaces; compensated compactness; renormalized solution
Summary:
We consider steady compressible Navier-Stokes-Fourier system in a bounded two-dimensional domain. We show the existence of a weak solution for arbitrarily large data for the pressure law $p(\varrho ,\vartheta ) \sim \varrho ^\gamma + \varrho \vartheta$ if $\gamma >1$ and $p(\varrho ,\vartheta ) \sim \varrho \ln ^\alpha (1+\varrho ) + \varrho \vartheta$ if $\gamma =1$, $\alpha >0$, depending on the model for the heat flux.
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