RT Journal Article T1 Explosive behavior in spatially discrete reaction-diffusion systems A1 Carpio Rodríguez, Ana María A1 Duro, Gema AB 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. PB American Institute of Mathematical Sciences SN 1531-3492 YR 2009 FD 2009-11 LK https://hdl.handle.net/20.500.14352/42124 UL https://hdl.handle.net/20.500.14352/42124 LA eng DS Docta Complutense RD 23 abr 2025