非牛顿润滑流的Maxwell模型的摄动解

对各种形式的Maxwell模型已有一些研究结果。Tichy讨论了粘弹性流体的Maxwell模型并对二维润滑流应用这一模型，使用以Deborah数为摄动量的正则摄动法，得到了模型的解。本文用双重正则摄动求解模型，得到了相应的解。顺便指出，所得速度的粘弹性修正项与Tichy的相应结果不同。

Perturbation Solution to Non-Newtonian Lubrication with a Convected Maxwell Model

There are many studies on variations of the maxwell model. Tichy (1996) discussed an admissible formulation of the Maxwell viscoelastic fluid model using a convected derivative and applied this model to 2D lubricaion flow. His using a regular perturbation in the Deborah number with the conventional lubrication solution as the leading term, a solution was obtained. The present paper extends Tichy's model, using a double regular perturbation to the convected Maxwell model, a correspondence solution can also be obtained, at the volley. It should be noted that the sliding velocity solution is different from Tichy's solution.