Solvability of a Elliptic-Parabolic (Hyperbolic) Type Chemotaxis System in a Bounded Domain

被引：0

作者：

Xu Zijun ^{[1
]}

机构：

[1] Jinzhong Univ, Sch Math, Jinzhong 030619, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 31卷 / 04期

关键词：

Elliptic-parabolic (hyperbolic) system; chemotaxis model; local existence; global existence;

D O I：

10.4208/jpde.v31.n4.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use contraction mapping principle and operator-theoretic approach to establish local solvability of the elliptic-parabolic(hyperbolic) Type Chemotaxis System. In addition, global solvability of the systems is considered by some uniform estimates.

引用

页码：322 / 332

页数：11

共 50 条

[41] A HARNACK INEQUALITY FOR SOLUTIONS OF DIFFERENCE DIFFERENTIAL-EQUATIONS OF ELLIPTIC-PARABOLIC TYPE
MISAWA, M
MATHEMATISCHE ZEITSCHRIFT, 1993, 213 (03) : 393 - 423
[42] Global in Time and Bounded Solutions to a Parabolic–Elliptic Chemotaxis System with Nonlinear Diffusion and Signal-Dependent Sensitivity
Giuseppe Viglialoro
Applied Mathematics & Optimization, 2021, 83 : 979 - 1004
[43] HYPERBOLIC-PARABOLIC CHEMOTAXIS SYSTEM WITH NONLINEAR PRODUCT TERMS
Hua, Chen
Wu Shaohua
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2008, 21 (01): : 45 - 58
[44] A hyperbolic–elliptic–elliptic system of an attraction–repulsion chemotaxis model with nonlinear productions
Miaoqing Tian
Liang Hong
Sining Zheng
Journal of Evolution Equations, 2018, 18 : 973 - 1001
[45] A parabolic–elliptic chemotaxis system with nonlinear diffusion approached from a Cahn–Hilliard-type system
Shunsuke Kurima
Journal of Evolution Equations, 2021, 21 : 1755 - 1778
[46] Asymptotic behavior of a quasilinear parabolic–elliptic–elliptic chemotaxis system with logistic source
Dan Li
Zhongping Li
Zeitschrift für angewandte Mathematik und Physik, 2022, 73
[47] On a parabolic-elliptic chemotaxis system with periodic asymptotic behavior
Negreanu, Mihaela
Ignacio Tello, Jose
Manuel Vargas, Antonio
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (04) : 1210 - 1226
[48] Unique continuation inequalities for the parabolic-elliptic chemotaxis system
Wang, Gengsheng
Zheng, Guojie
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 317 : 524 - 560
[49] On a quasilinear parabolic-elliptic chemotaxis system with logistic source
Wang, Liangchen
Mu, Chunlai
Zheng, Pan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (05) : 1847 - 1872
[50] Asymptotic behavior of the solutions of an elliptic-parabolic system arising in flow in porous media
Amirat, Y
Ziani, A
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2004, 23 (02): : 335 - 351

← 1 2 3 4 5 →