Blowup solutions to Keller-Segel system and its simplified systems

• Autorzy: Takasi Senba
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35B35: Stability
• 35K55: Nonlinear parabolic equations
• 92C17: Cell movement (chemotaxis, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 74
• Numer: 1
• Strony: 199-203

Daty

wydano

2006

Twórcy

autor

Takasi Senba

• Applied Mathematics, Faculty of Engineering, University of Miyazaki, 1-1 Gakuen Kibanadai Nishi, Miyazaki, 889-2192, Japan

Identyfikatory

DOI

10.4064/bc74-0-12