Abstract
We study the equations describing the steady flow of a compressible radiative gas with newtonian rheology. Under suitable assumptions on the data that include the physically relevant situations (i.e., the pressure law for monoatomic gas, the heat conductivity growing with square root of the temperature), we show the existence of a variational entropy solution to the corresponding system of partial differential equations. Under additional restrictions, we also show the existence of a weak solution to this problem.
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Kreml, O., Nečasová, Š. & Pokorný, M. On the steady equations for compressible radiative gas. Z. Angew. Math. Phys. 64, 539–571 (2013). https://doi.org/10.1007/s00033-012-0246-4
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DOI: https://doi.org/10.1007/s00033-012-0246-4