TY  - JOUR
T1  - On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating
A1  - Naumann, Joachim
A1  - Pokorný, Milan
A1  - Wolf, Joerg
JA  - Nonlinear Analysis: Real World Applications
Y1  - 2012
VL  - 13
IS  - 4
SP  - 1600
EP  - 1620
N1  - Preprint NCMM no. 2010-033
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/10342195255pr33.pdf
M2  - doi: 10.1016/j.nonrwa.2011.11.018
KW  - Buoyancy force
KW  - Heat conducting Newtonian fluid
KW  - Reverse Hölder inequality
KW  - Steady problem
KW  - weak solution
N2  - We study a system of partial differential equations describing the steady flow of a heat conducting incompressible fluid in a bounded three dimensional domain, where the right-hand side of the momentum equation includes the buoyancy force. In the present work we prove the existence of a weak solution under both the smallness and a sign condition on physical parameters α0 and α1 which appear on the right hand side.
ER  -