Asymptotically self-similar solutions for the parabolic system modelling chemotaxis

• Autorzy: Yūki Naito
• Języki publikacji: EN

Abstrakty

EN

We consider a nonlinear parabolic system modelling chemotaxis
$u_t = ∇·(∇u - u∇v)$, $v_t = Δv + u$
in ℝ², t > 0. We first prove the existence of time-global solutions, including self-similar solutions, for small initial data, and then show the asymptotically self-similar behavior for a class of general solutions.

Kategorie tematyczne

• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 74
• Numer: 1
• Strony: 149-160

Daty

wydano

2006

Twórcy

autor

Yūki Naito

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

Identyfikatory

DOI

10.4064/bc74-0-9