A nonlinear stability analysis of pattern formation in thin liquid films

@inproceedings{Tian2003ANS,
  title={A nonlinear stability analysis of pattern formation in thin liquid films},
  author={Emily M. Tian and David J. Wollkind},
  year={2003}
}
The development of spontaneous stationary equilibrium patterns in thin liquid films is investigated by means of a hexagonal-planform weakly nonlinear stability analysis applied to the appropriate governing evolution equation for this phenomenon. In the long-wavelength limit the mathematical system modeling the liquid film can be reduced to such a single nonlinear partial differential timeevolution equation describing the layer thickness on an unbounded two-dimensional spatial domain and… CONTINUE READING

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Rhombic and hexagonal weakly nonlinear stability analyses: Theory and application. Nonlinear Instability Analysis

  • D. J. WOLLKIND
  • MR 1
  • 2001
Highly Influential
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