Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system

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Nondegeneracy of blow-up points for the parabolic Keller–Segel system (2014, methodology): “The lower blow-up rate estimate ‖u(t)‖∞ C(T − t)−1 was obtained for all solutions when m = 1 and N = 2 in [27].”
Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces (2009, background): “The global existence and similar aspects of blow-up solutions in R2 were shown by the authors [16].”
Blowup of solutions to generalized Keller–Segel model (2008, background): “Examples of such a reasoning applied to various semilinear models and realized in miscellaneous Banach spaces can be found in [3,5,6,11,20,21,23,25].”