TY  - JOUR
ID  - 2007-22
T1  - On the steady compressible {N}avier-{S}tokes-{F}ourier system
A1  - Mucha, Piotr B
A1  - Pokorný, Milan
JA  - Communications in Mathematical Physics
Y1  - 2009
VL  - 288
IS  - 1
SP  - 349
EP  - 377
SN  - 0010-3616
N1  - Preprint no. 2007-22
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/07276104926pbm-mp-ar2007.pdf
M2  - doi: 10.1007/s00220-009-0772-x
KW  - Compressible Navier-Stokes-Fourier system
N2  - We study the motion of the steady compressible heat conducting viscous fluid in a bounded three dimensional domain governed by the compressible Navier–Stokes–Fourier system. Our main result is the existence of a weak solution to these equations for arbitrarily large data. A key element of the proof is a special approximation of the original system guaranteeing pointwise uniform boundedness of the density as well as the positiveness of the temperature. Therefore the passage to the limit omits tedious technical tricks required by the standard theory. Basic estimates on the solutions are possible to obtain by a suitable choice of physically reasonable boundary conditions.
M1  - fjournal={Communications in Mathematical Physics}
M1  - 
coden={CMPHAY}
M1  - 
mrclass={35Q35 (76D05)}
M1  - 
mrnumber={MR2491627}
ER  -