On the global well-posedness for the 3D axisymmetric incompressible Keller-Segel-Navier-Stokes equations

被引：3

作者：

Hua, Qiang ^{[1
]}

Zhang, Qian ^{[1
]}

机构：

[1] Hebei Univ, Sch Math & Informat Sci, Hebei Key Lab Machine Learning & Computat Intelli, Baoding 071002, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Keller-Segel equations; Navier-Stokes equations; Global well-posedness; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; CHEMOTAXIS; MODEL; EXISTENCE; MASS; CORALS; EGGS;

D O I：

10.1007/s00033-021-01609-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem for the three-dimensional incompressible Keller-Segel-Navier-Stokes equations. By taking advantage of the geometry of axisymmetric flow without swirl, we obtain the global well-posedness for the system.

引用

页数：25

共 50 条

[31] On the Global Well-Posedness of the 3D Axisymmetric Resistive MHD Equations
Zineb Hassainia
Annales Henri Poincaré, 2022, 23 : 2877 - 2917
[32] On the Global Well-Posedness of the 3D Axisymmetric Resistive MHD Equations
Hassainia, Zineb
ANNALES HENRI POINCARE, 2022, 23 (08): : 2877 - 2917
[33] Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity
Zhai, Cuili
Zhang, Ting
JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (09)
[34] Global Well-Posedness of the 3D Generalized Navier-Stokes Equations with Fractional Partial Dissipation
Fengping Li
Baoquan Yuan
Acta Applicandae Mathematicae, 2021, 171
[35] Global Well-Posedness of the 3D Generalized Navier-Stokes Equations with Fractional Partial Dissipation
Li, Fengping
Yuan, Baoquan
ACTA APPLICANDAE MATHEMATICAE, 2021, 171 (01)
[36] GLOBAL WELL-POSEDNESS OF THE 3D NAVIER-STOKES EQUATIONS PERTURBED BY A DETERMINISTIC VECTOR FIELD
Flandoli, Franco
Hofmanova, Martina
Luo, Dejun
Nilssen, Torstein
ANNALS OF APPLIED PROBABILITY, 2022, 32 (04): : 2568 - 2586
[37] On the well-posedness of 3-D inhomogeneous incompressible Navier-Stokes equations with variable viscosity
Zhai, Xiaoping
Yin, Zhaoyang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (03) : 2407 - 2447
[38] GLOBAL WELL-POSEDNESS FOR THE KELLER-SEGEL SYSTEM OF EQUATIONS IN CRITICAL SPACES
Bae, Hantaek
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2011, 7 (02): : 93 - 112
[39] Global well-posedness for the 3D inhomogeneous incompressible magnetohydrodynamics system with axisymmetric data
Liu, Wenjuan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 539 (01)
[40] Global well-posedness of the Navier-Stokes-omega equations
Fan, Jishan
Zhou, Yong
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1915 - 1918

← 1 2 3 4 5 →