2026-06-27T15:22:09Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/421242024-07-09T14:23:51Zcom_20.500.14352_14col_20.500.14352_15

Carpio Rodríguez, Ana María Duro, Gema 2023-06-20T00:10:20Z 2023-06-20T00:10:20Z 2009-11 1531-3492 10.3934/dcdsb.2009.12.693 https://hdl.handle.net/20.500.14352/42124 http://www.mat.ucm.es/~acarpio/archivos_pdfs/dcdsB2009.pdf 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. eng restricted access Explosive behavior in spatially discrete reaction-diffusion systems journal article