The paper deals with a stationary non-Newtonian flow of a viscous fluid in unbounded domains with cylindrical outlets to infinity. The viscosity is assumed to be smoothly dependent on the gradient of the velocity. Applying the generalized Banach fixed point theorem, we prove the existence, uniqueness and high order regularity of solutions stabilizing in the outlets to the prescribed quasi-Poiseuille flows. Varying the limit quasi-Poiseuille flows, we prove the stability of the solution.

中文翻译：

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具有应变速率相关粘度的稳态非牛顿流动，在圆柱出口到无穷大的域中

这篇论文处理了粘性流体在无界域中的静止非牛顿流动，圆柱出口到无穷远。假设粘度平滑地依赖于速度的梯度。应用广义Banach不动点定理，我们证明了在指定准泊肃叶流的出口处稳定解的存在性、唯一性和高阶正则性。改变极限准泊肃叶流，我们证明了解的稳定性。