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

Jaewook Ahn, Kyungkeun Kang

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)5165-5179
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number12
DOIs
Publication statusPublished - 2014 Dec

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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