On a keller-segel system with logarithmic sensitivity and non-diffusive chemical

Jaewook Ahn; Kyungkeun Kang

doi:10.3934/dcds.2014.34.5165

On a keller-segel system with logarithmic sensitivity and non-diffusive chemical

Jaewook Ahn
, Kyungkeun Kang

Department of Mathematics

Yonsei University

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

8 Scopus citations

Abstract

We consider a chemotactic system with a logarithmic sensitivity and a non-diffusing chemical. We establish local regular solutions in time and give some characterizations on parameters and initial data for global solutions and blow-up in a finite time. We also prove that there does not exist finite time self-similar solution of the backward type.

Original language	English
Pages (from-to)	5165-5179
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	12
DOIs	https://doi.org/10.3934/dcds.2014.34.5165
State	Published - Dec 2014

Keywords

Chemotaxis
Keller-segel system
Logarithmic sensitivity
Non-diffusive chemical
PDE-ODE system

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10.3934/dcds.2014.34.5165

Cite this

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abstract = "We consider a chemotactic system with a logarithmic sensitivity and a non-diffusing chemical. We establish local regular solutions in time and give some characterizations on parameters and initial data for global solutions and blow-up in a finite time. We also prove that there does not exist finite time self-similar solution of the backward type.",

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N2 - We consider a chemotactic system with a logarithmic sensitivity and a non-diffusing chemical. We establish local regular solutions in time and give some characterizations on parameters and initial data for global solutions and blow-up in a finite time. We also prove that there does not exist finite time self-similar solution of the backward type.

AB - We consider a chemotactic system with a logarithmic sensitivity and a non-diffusing chemical. We establish local regular solutions in time and give some characterizations on parameters and initial data for global solutions and blow-up in a finite time. We also prove that there does not exist finite time self-similar solution of the backward type.

KW - Chemotaxis

KW - Keller-segel system

KW - Logarithmic sensitivity

KW - Non-diffusive chemical

KW - PDE-ODE system

UR - https://www.scopus.com/pages/publications/84902675141

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DO - 10.3934/dcds.2014.34.5165

M3 - Article

AN - SCOPUS:84902675141

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 12

ER -

On a keller-segel system with logarithmic sensitivity and non-diffusive chemical

Abstract

Keywords

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