Existence of regular solutions for a certain type of non-Newtonian fluids

被引：5

作者：

Kang, Kyungkeun ^{[1
]}

Kim, Hwa Kil ^{[2
]}

Kim, Jae-Myoung ^{[3
]}

机构：

[1] Yonsei Univ, Dept Math, Seoul 03722, South Korea

[2] Hannam Univ, Dept Math Educ, Daejeon 34430, South Korea

[3] Yonsei Univ, Ctr Math Anal & Computat, Seoul 03722, South Korea

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期

关键词：

Non-Newtonian fluid; Well posedness; Regular solution; WEAK SOLUTIONS; EQUATIONS; MOTION;

D O I：

10.1007/s00033-019-1167-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with existence of regular solutions for non-Newtonian fluids in dimension three. For a certain type of non-Newtonian fluids, we prove local existence of unique regular solutions, provided that the initial data are sufficiently smooth. Moreover, if the H3-norm of initial data is sufficiently small, then the regular solution exists globally in time.

引用

页数：29

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