In this paper, we will consider blowup solutions to the so called Keller-Segel system and its simplified form. The Keller-Segel system was introduced to describe how cellular slime molds aggregate, owing to the motion of the cells toward a higher concentration of a chemical substance produced by themselves. We will describe a common conjecture in connection with blowup solutions to the Keller-Segel system, and some results for solutions to simplified versions of the Keller-Segel system, giving the evidence that the conjecture is true.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-12,
author = {Takasi Senba},
title = {Blowup solutions to Keller-Segel system and its simplified systems},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {199-203},
zbl = {1114.35089},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-12}
}
Takasi Senba. Blowup solutions to Keller-Segel system and its simplified systems. Banach Center Publications, Tome 72 (2006) pp. 199-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-12/