Blow-up versus global existence of solutions to aggregation equations

• Autorzy: Grzegorz Karch , Kanako Suzuki
• Języki publikacji: EN

Abstrakty

EN

A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 35B40: Asymptotic behavior of solutions
• 92C17: Cell movement (chemotaxis, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 3
• Strony: 243-258

Daty

wydano

2011

Twórcy

autor

Grzegorz Karch

• Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Kanako Suzuki

• Graduate School of Information Sciences, Tohoku University, 6-3-09 Aramaki-aza-Aoba, Aoba-ku, Sendai 980-8579, Japan

Identyfikatory

DOI

10.4064/am38-3-1