This paper is concerned with a parabolic Keller-Segel system in R^n, with n = 2 and 3, under Neumann boundary conditions on the boundary. Firstly important theoretical and general results dealing with lower bounds for blow-up time estimates are summarized and analyzed. Secondly, a resolution method is proposed and used to both compute the real blow-up times of such unbounded solutions and analyze and discuss some of their properties.

On explicit lower bounds and blow-up times in a model of chemotaxis

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

Abstract

This paper is concerned with a parabolic Keller-Segel system in R^n, with n = 2 and 3, under Neumann boundary conditions on the boundary. Firstly important theoretical and general results dealing with lower bounds for blow-up time estimates are summarized and analyzed. Secondly, a resolution method is proposed and used to both compute the real blow-up times of such unbounded solutions and analyze and discuss some of their properties.
2015
Blow-up time; Nonlinear parabolic systems; Lower bounds; Finite element method; Finite difference method; Keller-Segel system
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/70032
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