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.
|Number of pages||15|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - 2014 Dec|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics