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

被引：0
|
作者：
Wang Shu [1 ]
Yuan Fang [1 ,2 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
[2] China Everbright Bank, Beijing 100054, Peoples R China
来源：
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 01期
关键词：
On free boundary problem; the non-Newtonian shear thickening fluids; vacuum; EXISTENCE;
D O I：
10.4208/jpde.v34.n1.2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 uniformestimates are obtained for these approximate solutions. Finally, the existence of free boundary problem solutions is proved by these uniform estimates.
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页码：14 / 41
页数：28
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