Viscoelastic fluids in thin domains: A mathematical proof

نویسندگان

  • Guy Bayada
  • Laurent Chupin
  • Bérénice Grec
چکیده

The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B type in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier-Stokes/Oldroyd-B sytem towards the asymptotic model.

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عنوان ژورنال:
  • Asymptotic Analysis

دوره 64  شماره 

صفحات  -

تاریخ انتشار 2009