'American Institute of Mathematical Sciences (AIMS)'
Doi
Abstract
Abstract. This paper is concerned with a parabolic Keller-Segel system in
R^n, with n = 2 and 3, under Neumann boundary conditions on the boundary.
Firstly important theoretical and general results dealing with lower bounds for
blow-up time estimates are summarized and analyzed. Secondly, a resolution
method is proposed and used to both compute the real blow-up times of such
unbounded solutions and analyze and discuss some of their properties