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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.
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 -