Regularity results for 3D shear-thinning fluid flows in terms of the gradient of one velocity component

被引：2

作者：

Kim, Chungguk ^{[1
]}

Pak, Jisong ^{[1
]}

Sin, Cholmin ^{[2
]}

Baranovskii, Evgenii S. ^{[3
]}

机构：

[1] Univ Sci, Pyongyang, North Korea

[2] State Acad Sci, Inst Math, Pyongyang, North Korea

[3] Voronezh State Univ, Voronezh, Russia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2024年 / 75卷 / 02期

关键词：

Regularity criterion; Shear-thinning fluid; Generalized Navier-Stokes equations; One component of velocity; Weak solution; Strong solution; NAVIER-STOKES EQUATIONS; GLOBAL REGULARITY; WEAK SOLUTIONS; CRITERION; EXISTENCE;

D O I：

10.1007/s00033-024-02210-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that a weak solution to 3D shear-thinning flows becomes strong provided that the gradient of one component of velocity belongs to a certain Lebesgue space class.

引用

页数：14

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