The existence, uniqueness and large time behaviour of radially symmetric solutions to a chemotaxis system in the plane ℝ² are studied for the (supercritical) value of mass greater than 8π.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-2, author = {Piotr Biler}, title = {Radially symmetric solutions of a chemotaxis model in the plane-the supercritical case}, journal = {Banach Center Publications}, volume = {83}, year = {2008}, pages = {31-42}, zbl = {1153.35395}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-2} }
Piotr Biler. Radially symmetric solutions of a chemotaxis model in the plane-the supercritical case. Banach Center Publications, Tome 83 (2008) pp. 31-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-2/