This paper dealswith a parabolic–parabolic Keller–Segel-type systemin a bounded domain ofRN, fN D 2; 3g, under different boundary conditions, with time-dependent coefficients and a positive source term. The solutions may blowup in finite time t; and under appropriate assumptions on data, explicit lower bounds for blow-up time are obtained when blow up occurs
Blow-up phenomena in chemotaxis systems with a source term
MARRAS, MONICA;PIRO, STELLA;VIGLIALORO, GIUSEPPE
2016
Abstract
This paper dealswith a parabolic–parabolic Keller–Segel-type systemin a bounded domain ofRN, fN D 2; 3g, under different boundary conditions, with time-dependent coefficients and a positive source term. The solutions may blowup in finite time t; and under appropriate assumptions on data, explicit lower bounds for blow-up time are obtained when blow up occurs
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