Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure.

The steady state non-Newtonian flow, with strain rate dependent viscosity in a thin tube structure, with no slip boundary condition, is considered. A new method of partial asymptotic dimension reduction is introduced and justified by an error estimate. This method reduces the problem to an equation on the graph and several decoupled full dimension problems in small domains. [ABSTRACT FROM AUTHOR]