Well-Posedness of Boundary Layer Equations for Time-Dependent Flow of Non-Newtonian Fluids |
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| Authors: | Michael Renardy Xiaojun Wang |
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| Affiliation: | 1. Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061-0123, USA
2. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA
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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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