### Impacto

Carpio Rodríguez, Ana María and Duro, Gema
(2009)
*Explosive behavior in spatially discrete reaction-diffusion systems.*
Discrete and Continuous Dynamical Systems. Series B. A Journal Bridging Mathematics and Sciences, 12
(4).
pp. 693-711.
ISSN 1531-3492

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Official URL: http://www.mat.ucm.es/~acarpio/archivos_pdfs/dcdsB2009.pdf

## Abstract

Explosive instabilities in spatially discrete reaction-diffusion systems are studied. We identify classes of initial data developing singularities in finite time and obtain predictions of the blow-up times, whose accuracy is checked by comparison with numerical solutions. We present averaged and local blow-up estimates. Local blow-up results show that it is possible to have blow-up after blow-up. Conditions excluding or implying blow-up at space infinity are discussed.

Item Type: | Article |
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Uncontrolled Keywords: | Instability, blow-up, reaction-diffusion systems, spatial discreteness, nonlinear oscillators. |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 14905 |

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Deposited On: | 19 Apr 2012 09:28 |

Last Modified: | 06 Feb 2014 10:11 |

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