Local and global strong solutions to the 3D Navier-Stokes equations with damping

被引：0

作者：

Li, Kwang-Ok ^{[1
]}

Kim, Yong-Ho ^{[1
]}

Kim, Yong-Nam ^{[2
]}

O, Sung-Il ^{[3
]}

机构：

[1] Univ Sci Pyongyang, Dept Math, Pyongyang, North Korea

[2] Pyongyang Coll Locomot Technol, Pyongyang, North Korea

[3] State Acad Sci, Cent Min Inst, Pyongyang, North Korea

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2024年 / 24卷 / 03期

关键词：

Navier-Stokes equations; Damping; Regularity; UNIQUENESS; WEAK;

D O I：

10.1007/s00028-024-00987-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies regularity properties of the weak solutions to the 3D Navier-Stokes equations with damping in the whole space and bounded domains. We find the space restriction on the initial velocity to guarantee the local existence of strong solutions. Based on it, we complete the existence results for the global strong solutions in the whole space and improve the restriction on the damping exponent for the existence of the global strong solutions in the bounded domains.

引用

页数：20

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