Sharp Condition for blow-up and global existence in a two species chemotactic Keller-Segel system in ${\mathbb{R}}^2$

Elio E. Espejo, Karina Vilches, Carlos Conca

For the parabolic-elliptic Keller-Segel system in R^2 it has been proved that if the initial mass is less than 8π/χ global solution exist and in the case that the initial mass is l…