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@ARTICLE{,
    author = {Naumann, Joachim and Pokorn{\'{y}}, Milan and Wolf, Joerg},
  keywords = {Buoyancy force, Heat conducting Newtonian fluid, Reverse H{\"{o}}lder inequality, Steady problem, weak solution},
     title = {On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating},
   journal = {Nonlinear Analysis: Real World Applications},
    volume = {13},
    number = {4},
      year = {2012},
     pages = {1600--1620},
      note = {Preprint NCMM no. 2010-033},
       url = {http://www.karlin.mff.cuni.cz/ncmm/preprints/10342195255pr33.pdf},
       doi = {10.1016/j.nonrwa.2011.11.018},
  abstract = {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.}
}