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Explosive behavior in spatially discrete reaction-diffusion systems

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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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
Uncontrolled Keywords:Instability, blow-up, reaction-diffusion systems, spatial discreteness, nonlinear oscillators.
Subjects:Sciences > Mathematics > Differential equations
ID Code:14905
References:

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