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 | |
| Added by: | [MB] |
| Total mark: | 0 |
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