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
Inglese
Dynamical Systems, Differential Equations and Applications, AIMS Proceedings 2015, Proceedings of the 10th AIMS International Conference (Madrid, Spain)
2015
409
417
9
https://www.aimsciences.org/article/doi/10.3934/proc.2015.0409
Dynamical Systems, Differential Equations and Applications, AIMS Proceedings 2015
Esperti anonimi
giugno 2015
Madrid, Spagna
internazionale
scientifica
Blow-up time; Nonlinear parabolic systems; Lower bounds; Finite element method; Finite difference method; Keller-Segel system
no
4 Contributo in Atti di Convegno (Proceeding)::4.1 Contributo in Atti di convegno
Farina, M. A.; Marras, Monica; Viglialoro, Giuseppe
273
3
4.1 Contributo in Atti di convegno
reserved
info:eu-repo/semantics/conferencePaper
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