This study aims to analyze the dynamics of a thin Newtonian liquid film on a uniformly heated compliant substrate. We consider the violation of time-reversal symmetry in the liquid, resulting in an additional non-zero term in the liquid stress tensor. Using the long-wave expansion technique, we derive a set of coupled equations governing the film thickness and substrate deformation, accounting for inertia, surface tension, thermocapillarity, and odd viscosity. Through linear stability analysis and spatiotemporal simulations, we observe that the compliant substrate enhances instability, while wall heating exacerbates it. However, the introduction of odd viscosity effectively suppresses these instabilities, as confirmed by the agreement between simulation and theoretical predictions.

中文翻译：

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均匀加热的柔顺基板上的落液膜，具有破缺的时间反转对称性

本研究旨在分析均匀加热的柔顺基板上牛顿液膜的动力学。我们考虑液体中违反时间反演对称性，导致液体应力张量中出现额外的非零项。使用长波展开技术，我们推导出一组控制薄膜厚度和基底变形的耦合方程，考虑了惯性、表面张力、热毛细管现象和奇粘度。通过线性稳定性分析和时空模拟，我们观察到柔顺基板增强了不稳定性，而壁加热则加剧了不稳定性。然而，奇数粘度的引入有效地抑制了这些不稳定性，正如模拟与理论预测之间的一致性所证实的那样。