Source-type solutions of the fourth-order unstable thin film equation

@inproceedings{Evans2007SourcetypeSO,
  title={Source-type solutions of the fourth-order unstable thin film equation},
  author={Jonathan D. Evans and Victor A. Galaktionov and J. R. C. King},
  year={2007}
}
We consider the fourth-order thin film equation (TFE) with the unstable second-order diffusion term. We show that, for the first critical exponent where N ≥ 1 is the space dimension, the free-boundary problem the with zero contact angle and zero-flux conditions admits continuous sets (branches) of self-similar similarity solutions of the form For the Cauchy problem, we describe families of self-similar patterns, which admit a regular limit as n → 0 + and converge to the similarity solutions… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 24 CITATIONS

Similar Papers

Loading similar papers…