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arXiv · 1202.0685

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

Michael Renardy·Xiaojun Wang
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Abstract

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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Michael Renardy, Xiaojun Wang. 2012-02-03. Well-posedness of boundary layer equations for time-dependent flow of non-Newtonian fluids. https://doi.org/10.1007/s00021-013-0150-5

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