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.File in questo prodotto:
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