Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations

被引：13

作者：

Zhang, Qian ^{[1
]}

Wang, Peiguang ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Chemotaxis equations; Navier-Stokes equations; Global well-posedness; BLOW-UP; SPERM-ATTRACTANT; CHEMICAL-ASPECTS; WEAK SOLUTIONS; SYSTEM; MODEL; EXISTENCE; MASS; STABILIZATION; AGGREGATION;

D O I：

10.1016/j.jde.2020.01.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The four-component chemotaxis-Navier-Stokes system {n(t) + u . Delta(n) - del. (n del c) - nm, c(t) + u . del c = Delta c - c + m, m(t) + u . del m = Delta m - nm, u(t) + (u . del)u + del P = Delta u + (n + m)del phi, del . u = 0, is considered in R-2. By using Fourier localization technique and the structure of equations, we obtain the existence and uniqueness of weak solutions for the above system for a large class of initial data. (C) 2020 The Authors. Published by Elsevier Inc.

引用

页码：1656 / 1692

页数：37

共 50 条

[21] GLOBAL WELL-POSEDNESS FOR THE 3-D INCOMPRESSIBLE ANISOTROPIC ROTATING NAVIER-STOKES EQUATIONS
Liu, Yuhui
Niu, Dongjuan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024, 29 (03): : 1380 - 1401
[22] On the global well-posedness for the 3D axisymmetric incompressible Keller–Segel–Navier–Stokes equations
Qiang Hua
Qian Zhang
Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[23] Global well-posedness of incompressible Navier-Stokes equations with two slow variables
Weimin Peng
Yi Zhou
Chinese Annals of Mathematics, Series B, 2017, 38 : 787 - 794
[24] Global well-posedness of a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential in 2D
He, Jingning
Wu, Hao
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 297 : 47 - 80
[25] Global Well-Posedness of Incompressible Navier-Stokes Equations with Two Slow Variables
Weimin PENG
Yi ZHOU
ChineseAnnalsofMathematics,SeriesB, 2017, (03) : 787 - 794
[26] Global Well-Posedness of 2D Compressible Navier-Stokes Equations with Large Data and Vacuum
Jiu, Quansen
Wang, Yi
Xin, Zhouping
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2014, 16 (03) : 483 - 521
[27] GLOBAL WELL-POSEDNESS OF 2D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH LARGE DATA AND VACUUM
Jiu, Quansen
Wang, Yi
Xin, Zhouping
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2014, 8 : 701 - 708
[28] Global well-posedness for 2D fractional inhomogeneous Navier-Stokes equations with rough density
Li, Yatao
Miao, Qianyun
Xue, Liutang
NONLINEARITY, 2023, 36 (07) : 3866 - 3908
[29] GLOBAL WELL-POSEDNESS OF 2D INCOMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH HORIZONTAL DISSIPATION
Suo, Xiaoxiao
Jiu, Quansen
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (09) : 4523 - 4553
[30] Well-posedness and dynamics of 2D Navier-Stokes equations with moving boundary
Chang, Qingquan
Li, Dandan
JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (02)

← 1 2 3 4 5 →