Between homogeneous and inhomogeneous Navier–Stokes systems: The issue of stability

Piotr B. Mucha; Liutang Xue; Xiaoxin Zheng

doi:10.1016/j.jde.2019.01.012

Between homogeneous and inhomogeneous Navier–Stokes systems: The issue of stability

Piotr B. Mucha
, Liutang Xue^*
, Xiaoxin Zheng

^*此作品的通讯作者

数学科学学院

University of Warsaw
Beijing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We construct large velocity vector solutions to the three dimensional inhomogeneous Navier–Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wisely close to a constant. Key elements of our approach are estimates in the maximal regularity regime and the Lagrangian coordinates. Considerations are done in the whole R ³ .

源语言	英语
页（从-至）	307-363
页数	57
期刊	Journal of Differential Equations
卷	267
期	1
DOI	https://doi.org/10.1016/j.jde.2019.01.012
出版状态	已出版 - 15 6月 2019

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title = "Between homogeneous and inhomogeneous Navier{\textendash}Stokes systems: The issue of stability",

abstract = " We construct large velocity vector solutions to the three dimensional inhomogeneous Navier{\textendash}Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wisely close to a constant. Key elements of our approach are estimates in the maximal regularity regime and the Lagrangian coordinates. Considerations are done in the whole R 3 .",

keywords = "2D homogeneous Navier{\textendash}Stokes system, 3D Inhomogeneous Navier{\textendash}Stokes system, Lagrangian coordinates, Stability",

author = "Mucha, \{Piotr B.\} and Liutang Xue and Xiaoxin Zheng",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

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doi = "10.1016/j.jde.2019.01.012",

language = "英语",

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T1 - Between homogeneous and inhomogeneous Navier–Stokes systems

T2 - The issue of stability

AU - Mucha, Piotr B.

AU - Xue, Liutang

AU - Zheng, Xiaoxin

PY - 2019/6/15

Y1 - 2019/6/15

N2 - We construct large velocity vector solutions to the three dimensional inhomogeneous Navier–Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wisely close to a constant. Key elements of our approach are estimates in the maximal regularity regime and the Lagrangian coordinates. Considerations are done in the whole R 3 .

AB - We construct large velocity vector solutions to the three dimensional inhomogeneous Navier–Stokes system. The result is proved via the stability of two dimensional solutions with constant density, under the assumption that initial density is point-wisely close to a constant. Key elements of our approach are estimates in the maximal regularity regime and the Lagrangian coordinates. Considerations are done in the whole R 3 .

KW - 2D homogeneous Navier–Stokes system

KW - 3D Inhomogeneous Navier–Stokes system

KW - Lagrangian coordinates

KW - Stability

UR - https://www.scopus.com/pages/publications/85060181200

U2 - 10.1016/j.jde.2019.01.012

DO - 10.1016/j.jde.2019.01.012

M3 - 文章

AN - SCOPUS:85060181200

SN - 0022-0396

VL - 267

SP - 307

EP - 363

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Between homogeneous and inhomogeneous Navier–Stokes systems: The issue of stability

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