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arXiv · 1806.07257

On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index

Anna Abbatiello·Miroslav Bulíček·Petr Kaplický
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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.

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Anna Abbatiello, Miroslav Bulíček, Petr Kaplický. 2018-06-19. On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index. https://doi.org/10.1007/s00021-019-0415-8

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