Global Existence and Blowup of Solutions of Two Species Chemotaxis Model

2016 ◽  
Vol 5 (4) ◽  
pp. 457-469
Author(s):  
V. Bhuvaneswari ◽  
K. Balachandran
Keyword(s):  
Global Existence ◽  
Chemotaxis Model ◽  
Blowup Of Solutions

scholarly journals GLOBAL EXISTENCE AND BLOW-UP FOR A CHEMOTAXIS SYSTEM

2017 ◽  
Vol 22 (2) ◽  
pp. 237-251
Author(s):  
Xueyong Chen ◽  
Fuxing Hu ◽  
Jianhua Zhang ◽  
Jianwei Shen
Keyword(s):  
Global Existence ◽  
Parabolic System ◽  
Blow Up ◽  
Numerical Test ◽  
Growth Conditions ◽  
Chemotaxis Model ◽  
Global Strong Solution ◽  
Flux Boundary Conditions ◽  
Power Frequency ◽  
Chemotaxis System

In this paper we consider a Keller-Segel-type chemotaxis model with reaction term under no-flux boundary conditions, where the kinetics term of the system is power function. Assuming some growth conditions, the existence of bounded global strong solution to the parabolic-parabolic system is given. We also give the numerical test and find out that there exists a threshold. When the power frequency greater than the threshold, both global solution and blow-up solution exist.

A logarithmic chemotaxis model featuring global existence and aggregation

2019 ◽  
Vol 50 ◽  
pp. 562-582 ◽  
Author(s):  
Laurent Desvillettes ◽  
Yong-Jung Kim ◽  
Ariane Trescases ◽  
Changwook Yoon
Keyword(s):  
Global Existence ◽  
Chemotaxis Model

scholarly journals The Global Existence of Solutions in Time for a Chemotaxis Model with Two Chemicals

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Qian Xu ◽  
Xiaolin Liu ◽  
Li Zhang
Keyword(s):  
Global Existence ◽  
Existence Of Solutions ◽  
Uniform Boundedness ◽  
Chemotaxis Model ◽  
Global Existence Of Solutions

This paper concerns the uniform boundedness and global existence of solutions in time for the chemotaxis model with two chemicals. We prove the system has global existence of solutions in time for any dimensionn.

scholarly journals Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit

2006 ◽  
Vol 55 (1) ◽  
pp. 289-316 ◽  
Author(s):  
Hyung Ju Hwang ◽  
Kyungkeun Kang ◽  
Angela Stevens
Keyword(s):  
Global Existence ◽  
Classical Solutions ◽  
Chemotaxis Model ◽  
Parabolic Limit

Global existence and blowup of solutions for the multidimensional sixth-order “good” Boussinesq equation

2014 ◽  
Vol 66 (3) ◽  
pp. 955-976 ◽  
Author(s):  
Xu Runzhang ◽  
Yang Yanbing ◽  
Liu Bowei ◽  
Shen Jihong ◽  
Huang Shaobin
Keyword(s):  
Global Existence ◽  
Boussinesq Equation ◽  
Sixth Order ◽  
Blowup Of Solutions
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