This paper deals with a parabolic-parabolic Keller-Segel system, modeling chemotaxis, with time dependent coefficients. We consider non-negative solutions of the system which blow up in finite time t* and an explicit lower bound for t* is derived under sufficient conditions on the coefficients and the spatial domain.

Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system

MARRAS, MONICA;PIRO, STELLA;VIGLIALORO, GIUSEPPE
2015-01-01

Abstract

This paper deals with a parabolic-parabolic Keller-Segel system, modeling chemotaxis, with time dependent coefficients. We consider non-negative solutions of the system which blow up in finite time t* and an explicit lower bound for t* is derived under sufficient conditions on the coefficients and the spatial domain.
2015
Nonlinear parabolic systems; Blow-up time; Chemotaxis
File in questo prodotto:
File Dimensione Formato  
PROC626.pdf

Solo gestori archivio

Tipologia: versione pre-print
Dimensione 297.54 kB
Formato Adobe PDF
297.54 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/72346
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact