Self-similarity in chemotaxis systems

• Autorzy: Yūki Naito , Takashi Suzuki
• Języki publikacji: EN

Abstrakty

EN

We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.

Kategorie tematyczne

• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.
• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 1
• Strony: 11-34

Daty

wydano

2008

Twórcy

autor

Yūki Naito

• Department of Applied Mathematics, Graduate School of Engineering, Kobe University, Kobe, 657-8501, Japan

autor

Takashi Suzuki

• Division of Mathematical Science, Department of System Innovation, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka, 560-8531, Japan

Identyfikatory

DOI

10.4064/cm111-1-2