%0 Journal Article
%A Carpio Rodríguez, Ana María
%A Duro, Gema
%T Explosive behavior in spatially discrete reaction-diffusion systems
%D 2009
%@ 1531-3492
%U https://hdl.handle.net/20.500.14352/42124
%X 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.
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