In this paper we present a theoretical model for the dewetting of ultra-thinpolymer films. Assumming that the shear-thinning properties of these films canbe described by a Cross-type constitutive equation, we analyze the frontmorphology of the dewetting film, and characterize the time evolution of thedry region radius, and of the rim height. Different regimes of growth areexpected, depending on the initial film thickness, and on the power-law indexinvolved in the constitutive equation. In the thin-films regime, the dry radiusand the rim height obey power-law time dependences. We then compare ourpredictions with the experimental results obtained by Debr\'egeas {\it et al.}[Phys. Rev. Lett. {\bf 75}, 3886 (1995)] and by Reiter [Phys. Rev. Lett. {\bf87}, 186101 (2001)].
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机译：在本文中，我们提供了超薄聚合物薄膜去湿的理论模型。假设这些薄膜的剪切稀化特性可以用Cross型本构方程来描述，我们分析了去湿薄膜的形貌，并表征了干燥区域半径和边缘高度的时间演化。根据初始膜厚以及本构方程中所包含的幂律指数，预计会有不同的生长方式。在薄膜状态下，干半径和轮辋高度服从幂律时间依赖性。然后，我们将我们的预测与Debr \'egeas {\ it et al。} [Phys。牧师{\ bf 75}，3886（1995）]和Reiter [Phys。牧师{\ bf87}，186101（2001）]。
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