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@ARTICLE{,
    author = {Bul{\'{\i}}{\v c}ek, Miroslav and Lewandowski, Roger and M{\'{a}}lek, Josef},
  keywords = {Incompressible fluid, large data existence, Navier-Stokes-Fourier equations, regularity, suitable weak solution, the viscosity increasing with a scalar quantity, turbulent kinetic energy model},
     title = {On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions},
   journal = {Comment. Math. Univ. Carolin.},
    volume = {52},
    number = {1},
      year = {2011},
     pages = {89--114},
      note = {Preprint NCMM no. 2010-024},
       url = {http://www.karlin.mff.cuni.cz/ncmm/preprints/10187143211pr24.pdf},
  abstract = {In this paper, we establish the large-data and long-time existence
of a suitable weak solution to an initial and boundary value problem driven
by a system of partial differential equations consisting of the Navier-Stokes
equations with the viscosity increasing with a scalar quantity k that evolves
according to an evolutionary convection diffusion equation with the right hand
side that is merely L1
-integrable over space and time. We also
formulate a conjecture concerning regularity of such a solution.}
}