On a keller-segel system with logarithmic sensitivity and non-diffusive chemical
2014
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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