@article{Biler2010, abstract = {In two space dimensions, the parabolic-parabolic Keller-Segel system shares many properties with the parabolic-elliptic Keller-Segel system. In particular, solutions globally exist in both cases as long as their mass is less than a critical threshold M(c). However, this threshold is not as clear in the parabolic-parabolic case as it is in the parabolic-elliptic case, in which solutions with mass above M(c) always blow up. Here we study forward self-similar solutions of the parabolic-parabolic Keller-Segel system and prove that, in some cases, such solutions globally exist even if their total mass is above M(c), which is forbidden in the parabolic-elliptic case.}, author = {Biler, Piotr and Corrias, Lucilla and Dolbeault, Jean}, doi = {10.1007/s00285-010-0357-5}, journal = {Journal of Mathematical Biology}, month = {aug}, pages = {1-32}, title = {Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis}, url = {http://hal.archives-ouvertes.fr/docs/00/41/19/13/PDF/BCD-29-08-2009-hal.pdf}, volume = {63}, year = {2010} }