Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source

Qian Zhang; Xiaoxin Zheng

doi:10.1016/j.jde.2020.10.024

Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source

Qian Zhang
, Xiaoxin Zheng^*

^*此作品的通讯作者

数学科学学院

Hebei University
Key Laboratory of Precision Opto-Mechatronics Technology (Ministry of Education)

科研成果: 期刊稿件 › 文章 › 同行评审

19 引用（Scopus）

摘要

In this paper, we investigate Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with logistic source. By exploring some new a priori estimates and making good use of the geometry structure of axisymmetric flow without swirl, we prove the global-in-time well-posedness for the axisymmetric chemotaxis-Navier-Stokes equations.

源语言	英语
页（从-至）	576-612
页数	37
期刊	Journal of Differential Equations
卷	274
DOI	https://doi.org/10.1016/j.jde.2020.10.024
出版状态	已出版 - 15 2月 2021

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10.1016/j.jde.2020.10.024

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title = "Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source",

abstract = "In this paper, we investigate Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with logistic source. By exploring some new a priori estimates and making good use of the geometry structure of axisymmetric flow without swirl, we prove the global-in-time well-posedness for the axisymmetric chemotaxis-Navier-Stokes equations.",

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author = "Qian Zhang and Xiaoxin Zheng",

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AU - Zhang, Qian

AU - Zheng, Xiaoxin

PY - 2021/2/15

Y1 - 2021/2/15

N2 - In this paper, we investigate Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with logistic source. By exploring some new a priori estimates and making good use of the geometry structure of axisymmetric flow without swirl, we prove the global-in-time well-posedness for the axisymmetric chemotaxis-Navier-Stokes equations.

AB - In this paper, we investigate Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with logistic source. By exploring some new a priori estimates and making good use of the geometry structure of axisymmetric flow without swirl, we prove the global-in-time well-posedness for the axisymmetric chemotaxis-Navier-Stokes equations.

KW - Axisymmetric solution

KW - Chemotaxis

KW - Global existence

KW - Navier-Stokes equations

UR - https://www.scopus.com/pages/publications/85096050809

U2 - 10.1016/j.jde.2020.10.024

DO - 10.1016/j.jde.2020.10.024

M3 - 文章

AN - SCOPUS:85096050809

SN - 0022-0396

VL - 274

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EP - 612

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source

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