dc.creator | Franco, Tertuliano | |
dc.creator | Groisman, Pablo | |
dc.creator | Franco, Tertuliano | |
dc.creator | Groisman, Pablo | |
dc.date.accessioned | 2022-10-07T19:29:28Z | |
dc.date.available | 2022-10-07T19:29:28Z | |
dc.date.issued | 2012 | |
dc.identifier | 0022-4715 | |
dc.identifier | http://repositorio.ufba.br/ri/handle/ri/14946 | |
dc.identifier | v. 149, n. 4 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/4013737 | |
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. | |
dc.language | en | |
dc.rights | Acesso Aberto | |
dc.source | http://dx.doi.org/ 10.1007/s10955-012-0621-8 | |
dc.subject | Hydrodynamic limit | |
dc.subject | Parabolic equations | |
dc.subject | Blow-up | |
dc.title | A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time | |
dc.type | Artigo de Periódico | |