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Free interface evolution in Norton-Hoff flows with numerical aspects

We deal with free boundaries evolution in visco-plastic flows. The fluid motion is governed by the incompressible Norton-Hoff operator in the non-cylindrical quasi-static case coupled with the time-dependent convection system. The novelty of this work is that we supply the existence result of an int...

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Bibliographic Details
Published in:Afrika mathematica 2015-03, Vol.26 (1-2), p.1-16
Main Authors: Ferchichi, J., Gaied, I., Khenous, H. B.
Format: Article
Language:English
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Summary:We deal with free boundaries evolution in visco-plastic flows. The fluid motion is governed by the incompressible Norton-Hoff operator in the non-cylindrical quasi-static case coupled with the time-dependent convection system. The novelty of this work is that we supply the existence result of an interface between two non-miscible fluids by the use of the non-smooth evolution theory. We argue some numerical examples to illustrate our result.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-013-0173-3