Year: 2021
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 14–41
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 strong nonlinear properties. In this paper, a class of approximate solutions is first constructed, and some uniform estimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n1.2
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 1 : pp. 14–41
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: On free boundary problem the non-Newtonian shear thickening fluids vacuum.