On the critical mass Patlak-Keller-Segel system for multi-species populations: global existence and infinite time aggregation

Debabrata Karmakar, Gershon Wolansky

We study the global in time existence and long time asymptotics of solutions to the parabolic-elliptic Patlak-Keller-Segel system for the multi-species populations in the whole Euc…