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On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids
Authors:Shu Wang & Fang Yuan
Affiliation:College of Applied Sciences,Beijing University of Technology,Beijing 100124,China;College of Applied Sciences,Beijing University of Technology,Beijing 100124,China;China Everbright Bank,Beijing 100054,China
Abstract:The aim of this paper is to explore the free boundary problem for the NonNewtonian shear thickening fluids. These fluids not only have vacuum, but also havestrong nonlinear properties. In this paper, a class of approximate solutions is firstconstructed, and some uniform estimates are obtained for these approximate solutions.Finally, the existence of free boundary problem solutions is proved by these uniformestimates.
Keywords:On free boundary problem the non-Newtonian shear thickening fluids vacuum.
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