Finite-time blowup of solutions to some activator-inhibitor systems

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2016 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 36, pages 4,997-5,010 (issn: 1078-0947,

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Authors: Karch, Grzegorz; Suzuki, Kanako; Zienkiewicz, Jacek;

doi: 10.3934/dcds.2016016

Finite-time blowup of solutions to some activator-inhibitor systems

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Abstract

The authors look into the dynamics of solutions to a reaction-diffusion system modeling a class of bio-pattern formation. This model has activator-inhibitor type nonlinearities. The authors point out that the system has solutions blowing up in finite time in both space-homogeneous and space non-homogeneous cases.

Keywords

Blow-up in context of PDEs, Reaction-diffusion equations, Asymptotic behavior of solutions to PDEs, reaction-diffusion system, finite-time blow-up

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