Undercompressive shocks in thin film flows

@inproceedings{Bertozzi1999UndercompressiveSI,
  title={Undercompressive shocks in thin film flows},
  author={FlowsA. L. Bertozzi},
  year={1999}
}
  • FlowsA. L. Bertozzi
  • Published 1999
Equations of the typeht + (h2 − h)x = − (hhxxx)x arise in the context of thin liquid films driven by the competing effects of a thermally induced surface tension gradient and gravity. In this paper, we focus on the interaction between the fourth order regularization and the nonconvex flux. Jump initial data, from a moderately thick film to a thin precurser layer, is shown to give rise to a double wave structure that includes an undercompressive wave. This wave, which approaches an… CONTINUE READING
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