A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time

dc.contributor.author	Franco, Tertuliano
dc.contributor.author	Groisman, Pablo
dc.creator	Franco, Tertuliano
dc.creator	Groisman, Pablo
dc.date.accessioned	2014-05-13T15:41:56Z
dc.date.issued	2012
dc.identifier.issn	0022-4715
dc.identifier.uri	http://repositorio.ufba.br/ri/handle/ri/14946
dc.description	Texto completo: acesso restrito. p. 629-642	pt_BR
dc.description.abstract	Consider a system of independent random walks in the discrete torus with creation-annihilation of particles and possible explosion of the total number of particles in finite time. Rescaling space and rates for diffusion/creation/annihilation of particles, we obtain a strong law of large numbers for the density of particles in the supremum norm. The limiting object is a classical solution to the semilinear heat equation ∂ t u=∂ xx u+f(u). If f(u)=u p , 1<p≤3, we also obtain a law of large numbers for the explosion time.	pt_BR
dc.language.iso	en	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.source	http://dx.doi.org/ 10.1007/s10955-012-0621-8	pt_BR
dc.subject	Hydrodynamic limit	pt_BR
dc.subject	Parabolic equations	pt_BR
dc.subject	Blow-up	pt_BR
dc.title	A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time	pt_BR
dc.title.alternative	Journal of Statistical Physics	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.identifier.number	v. 149, n. 4	pt_BR
dc.embargo.liftdate	10000-01-01