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On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index
Type of publication: Article
Citation:
Publication status: Published
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
Keywords: $C^{1, generalized viscosity, steady $p$-Navier--Stokes system, synovial fluid, variable exponent, \alpha}$ regularity
Authors Abbatiello, Anna
Bulíček, Miroslav
Kaplický, Petr
Added by: [MB]
Total mark: 0
Attachments
  • ABK_final.pdf
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