Numerical solutions of thin-film equations for polymer flows

@article{Salez2012NumericalSO,
  title={Numerical solutions of thin-film equations for polymer flows},
  author={Thomas J Salez and Joshua D. McGraw and Sara L. Cormier and Oliver B{\"a}umchen and Kari Dalnoki-Veress and {\'E}lie Rapha{\"e}l},
  journal={The European Physical Journal E},
  year={2012},
  volume={35},
  pages={1-9}
}
We report on the numerical implementation of thin-film equations that describe the capillary-driven evolution of viscous films, in two-dimensional configurations. After recalling the general forms and features of these equations, we focus on two particular cases inspired by experiments: the leveling of a step at the free surface of a polymer film, and the leveling of a polymer droplet over an identical film. In each case, we first discuss the long-term self-similar regime reached by the… 

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