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

Shu Wang; Fang Yuan

doi:10.4208/jpde.v34.n1.2

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

Authors

Shu Wang College of Applied Science, Beijing University of Technology, Beijing 100124, China
Fang Yuan College of Applied Sciences, Beijing University of Technology, Beijing 100124, China.

DOI:

https://doi.org/10.4208/jpde.v34.n1.2

Keywords:

On free boundary problem, the non-Newtonian shear thickening fluids, vacuum.

Abstract

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>"

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Published

2021-05-28

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Issue

Vol. 34 No. 1 (2021)

Section

Articles

How to Cite

On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids. (2021). Journal of Partial Differential Equations, 34(1), 14-41. https://doi.org/10.4208/jpde.v34.n1.2