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Jachalski, Sebastian [Author]; Kitavtsev, Georgy [Author]; Taranets, Roman [Author]

Weak solutions to lubrication systems describing the evolution of bilayer thin films

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  • Media type: Text; Report; E-Book
  • Title: Weak solutions to lubrication systems describing the evolution of bilayer thin films
  • Contributor: Jachalski, Sebastian [Author]; Kitavtsev, Georgy [Author]; Taranets, Roman [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2012
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1746
  • Keywords: 76A20 ; 76D08 ; 35D30 ; bilayer systems -- lubrication equations -- weak solutions -- slippage ; article
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: The existence of global nonnegative weak solutions is proved for coupled one-dimen- sional lubrication systems that describe the evolution of nanoscopic bilayer thin polymer films that take account of Navier-slip or no-slip conditions at both liquid-liquid and liquid-solid interfaces. In addition, in the presence of attractive van der Waals and repulsive Born intermolecular interactions existence of positive smooth solutions is shown.