Matched asymptotic analysis of self-similar blow-up profiles of the thin film equation

@inproceedings{Dallaston2018MatchedAA,
  title={Matched asymptotic analysis of self-similar blow-up profiles of the thin film equation},
  author={Michael C. Dallaston},
  year={2018}
}
We consider asymptotically self-similar blow-up profiles of the thin film equation consisting of a stabilising fourth order and destabilising second order term. It has previously been shown that blow up is only possible when the exponent in the second order term is above a certain critical value (dependent on the exponent in the fourth order term). We show that in the limit that the critical value is approached from above, the primary branch of similarity profiles exhibits a well-defined… CONTINUE READING

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