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^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	576-612
Number of pages	37
Journal	Journal of Differential Equations
Volume	274
DOIs	https://doi.org/10.1016/j.jde.2020.10.024
State	Published - 15 Feb 2021

Keywords

Axisymmetric solution
Chemotaxis
Global existence
Navier-Stokes equations

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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.",

keywords = "Axisymmetric solution, Chemotaxis, Global existence, Navier-Stokes equations",

author = "Qian Zhang and Xiaoxin Zheng",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2021",

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day = "15",

doi = "10.1016/j.jde.2020.10.024",

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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

SP - 576

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

Abstract

Keywords

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