We revisit the tears of wine problem for thin films in water-ethanol mixtures and present a model for the climbing dynamics. The formulation includes a Marangoni stress balanced by both the normal and tangential components of gravity as well as surface tension which lead to distinctly different behavior. The prior literature did not address the wine tears but rather the behavior of the film at earlier stages and the behavior of the meniscus. In the lubrication limit we obtain an equation that is already well known for rising films in the presence of thermal gradients. Such models can exhibit nonclassical shocks that are undercompressive. We present basic theory that allows one to identify the signature of an undercompressive wave. We observe both compressive and undercompressive waves in new experiments, and we argue that, in the case of a preswirled glass, the famous “wine tears” emerge from a reverse undercompressive shock originating at the meniscus.

中文翻译：

---

酒眼中的低压冲击理论

我们重新审视了水-乙醇混合物中薄膜的葡萄酒问题，并提出了攀爬动力学模型。该配方包括由重力的法向分量和切向分量以及表面张力平衡的Marangoni应力，这导致了截然不同的行为。先前的文献并没有解决葡萄酒的眼泪问题，而是解决了电影在早期阶段的表现和弯液面的表现。在润滑极限中，我们获得了一个方程，该方程对于在存在热梯度的情况下的升膜是众所周知的。这样的模型可能会表现出非经典的非压缩冲击。我们提出了一种基本理论，使人们能够识别负压波的特征。我们在新的实验中观察到压缩波和负压缩波，并且我们认为，