Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type

• Autorzy: Takayoshi Ogawa
• Języki publikacji: EN

Abstrakty

EN

We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 58J35: Heat and other parabolic equation methods
• 35K55: Nonlinear parabolic equations
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 74
• Numer: 1
• Strony: 161-184

Daty

wydano

2006

Twórcy

autor

Takayoshi Ogawa

• Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan

Identyfikatory

DOI

10.4064/bc74-0-10