On the Existence of Classical Solution to the Steady Flows of Generalized Newtonian Fluid with Concentration Dependent Power-Law Index

摘要: Steady flows of an incompressible homogeneous chemically reacting fluid are described by a coupled system, consisting the generalized Navier–Stokes equations and convection–diffusion equation with diffusivity dependent on concentration shear rate. Cauchy stress behaves like power-law exponent depending concentration. We prove existence classical solution for two dimensional periodic case whenever power law is above one less than infinity.