RT Journal Article
T1 Explosive behavior in spatially discrete reaction-diffusion systems
A1 Carpio, Ana
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
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