Blowup solutions to Keller-Segel system and its simplified systems

Takasi Senba. "Blowup solutions to Keller-Segel system and its simplified systems." Banach Center Publications 74.1 (2006): 199-203. <http://eudml.org/doc/282002>.

@article{TakasiSenba2006,
abstract = {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.},
author = {Takasi Senba},
journal = {Banach Center Publications},
keywords = {blowup; chemotaxis; self similar; Keller-Segel system; radial symmetric solution},
language = {eng},
number = {1},
pages = {199-203},
title = {Blowup solutions to Keller-Segel system and its simplified systems},
url = {http://eudml.org/doc/282002},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Takasi Senba
TI - Blowup solutions to Keller-Segel system and its simplified systems
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 199
EP - 203
AB - 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.
LA - eng
KW - blowup; chemotaxis; self similar; Keller-Segel system; radial symmetric solution
UR - http://eudml.org/doc/282002
ER -