Impacto
Downloads
Downloads per month over past year
Carpio, Ana 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
![]() |
PDF
Restringido a Repository staff only 882kB |
Official URL: http://www.mat.ucm.es/~acarpio/archivos_pdfs/dcdsB2009.pdf
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 |
Deposited On: | 19 Apr 2012 09:28 |
Last Modified: | 12 Dec 2018 15:07 |
Origin of downloads
Repository Staff Only: item control page