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

Autor:	Renardy, Michael, Wang, Xiaojun
Rok vydání:	2012
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
DOI:	10.1007/s00021-013-0150-5
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1202.0685 Zobrazit plný text záznamu View this record from Arxiv