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@ARTICLE{,
            author = {Abbatiello, Anna and Bul{\'{\i}}{\v c}ek, Miroslav and Kaplick{\'{y}}, Petr},
          keywords = {$C^{1, generalized viscosity, steady $p$-Navier--Stokes system, synovial fluid, variable exponent, \alpha}$ regularity},
             title = {On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index},
           journal = {J. Math. Fluid Mech.},
            volume = {21},
            number = {1},
              year = {2019},
             pages = {Art. 15, 22 pp.},
               doi = {10.1007/s00021-019-0415-8},
          abstract = {Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting of the generalized  Navier--Stokes equations and convection - diffusion equation with  diffusivity dependent on the concentration and the shear rate.  Cauchy stress behaves like power-law fluid with the exponent depending on the concentration. We prove the existence of a classical solution for the two dimensional periodic case whenever the power law exponent is above one and less than infinity.},
  Preprint project = {NCMM},
     Preprint year = {2018},
   Preprint number = {07},
       Preprint ID = {NCMM/2018/07}
}

