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metadata.dc.type: | Artigo de Periódico |
Title: | A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time |
Other Titles: | Journal of Statistical Physics |
Authors: | Franco, Tertuliano Groisman, Pablo |
metadata.dc.creator: | Franco, Tertuliano Groisman, Pablo |
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. |
Keywords: | Hydrodynamic limit Parabolic equations Blow-up |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14946 |
Issue Date: | 2012 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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Tertuliano Franco.pdf | 542,61 kB | Adobe PDF | View/Open |
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