WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS
2010 ◽
Vol 20
(05)
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pp. 785-813
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Keyword(s):
We consider the steady compressible Navier–Stokes–Fourier system in a bounded three-dimensional domain. We prove the existence of a solution for arbitrarily large data under the assumption that the pressure p(ϱ, θ) ~ ϱθ + ϱγ for [Formula: see text] assuming either the slip or no-slip boundary condition for the velocity and the Newton boundary condition for the temperature. The regularity of solutions is determined by the basic energy estimates, constructed for the system.
Keyword(s):
2011 ◽
Vol 369
(1944)
◽
pp. 2184-2192
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2004 ◽
Vol 48
(7-8)
◽
pp. 1153-1166
2015 ◽
Vol 68
(1)
◽
pp. 339-374
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Keyword(s):
2016 ◽
Vol 260
(7)
◽
pp. 5761-5795
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Keyword(s):