中文摘要：

讨论了不可压缩Carreau型非牛顿流体在单螺杆挤出机计量段的流动问题。在缓慢流动的假设下，给出了其定常流动问题的唯一可解性，明确了其解所存在的函数空间，为进一步的数值计算提供了理论基础。

英文摘要：

The boundary problem of stationary flow for incompressible non-Newtonian fluids in the metering section of a single screw extruder has been investigated. Under the assumption of slow flow, given the unique solvability of the corresponding mathematical model and by proving the function space of the stationary flows, the analysis pro- vides a theoretical basis for further numerical calculations.