Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids

Details Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids

2012-02-03

arxiv.org/abs/1202.0685v1

Mathematics

Analysis of PDEs

Scientific paper

We consider the flow of an upper convected Maxwell fluid in the limit of high
Weissenberg and Reynolds number. In this limit, the no-slip condition cannot be
imposed on the solutions. We derive equations for the resulting boundary layer
and prove the well-posedness of these equations. A transformation to Lagrangian
coordinates is crucial in the argument.

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