On the existence of unique global-in-time solutions and temporal decay rates of solutions to some non-Newtonian incompressible fluids

被引：0
|
作者：
Bae, Hantaek [1 ]
Kang, Kyungkeun [2 ]
机构：
[1] Ulsan Natl Inst Sci & Technol UNIST, Dept Math Sci, Ulsan, South Korea
[2] Yonsei Univ, Dept Math, Seoul, South Korea
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 02期
关键词：
Non-Newtonian fluid; Global well-posedness; Temporal decay rates; Primary; 76A05; Secondary; 76D05;
D O I：
10.1007/s00033-021-01489-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with a class of incompressible non-Newtonian fluids. We first give some conditions to the viscous part of the stress tensor to set our model. We then show that there exists a unique regular solution globally in time if u0 is an element of L2B</mml:mover>infinity ,11 and is sufficiently small in B<mml:mo></mml:mover>infinity <mml:mo>,11. We finally derive temporal decay rates of the solution which are consistent with the decay rates of the linear part of our model.
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页数：11
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