On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids

Abstract

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The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but also have\nstrong nonlinear properties. In this paper, a class of approximate solutions is first\nconstructed, and some uniform estimates are obtained for these approximate solutions.\nFinally, the existence of free boundary problem solutions is proved by these uniform\nestimates.<\/p>"