GLOBAL WELL-POSEDNESS OF 3D INCOMPRESSIBLE INHOMOGENEOUS NAVIER-STOKES EQUATIONS

被引：0

作者：

Qian, Chenyin ^{[1
]}

Zhang, Ping ^{[2
,3
,4
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China

[3] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing, Peoples R China

[4] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2021年 / 28卷 / 04期

关键词：

Inhomogeneous Navier-Stokes systems; Littlewood-Paley theory; Well-posedness; Besov spaces; LAGRANGIAN APPROACH; CRITICAL SPACES; VISCOUS FLUIDS; DENSITY; SOLVABILITY; EXISTENCE; PATCHES; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with initial velocity to be sufficiently small in the critical Besov space,.over dot(B)(p,1)(3/p-1) for 1 < p < 6 and with initial density in the critical Besov space and bounded away from vacuum. The key ingredient used in the proof lies in a new estimate to the pressure term. In particular, our result improves the previous ones by Abidi et al. (2013) [3], Zhai and Yin (2017) [32], Burtea (2017) [6] and so on.

引用

页码：507 / 546

页数：40

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