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

dc.creatorTertuliano, Franco
dc.creatorGroisman, Pablo Jose
dc.date.accessioned2017-07-07T19:50:45Z
dc.date.accessioned2018-11-06T11:56:09Z
dc.date.available2017-07-07T19:50:45Z
dc.date.available2018-11-06T11:56:09Z
dc.date.created2017-07-07T19:50:45Z
dc.date.issued2012-11
dc.identifierTertuliano, Franco; Groisman, Pablo Jose; A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time; Springer; Journal Of Statistical Physics; 149; 4; 11-2012; 629-642
dc.identifier0022-4715
dc.identifierhttp://hdl.handle.net/11336/19892
dc.identifier1572-9613
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1861226
dc.description.abstractConsider 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 stong 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 ∂tu = ∂xxu + f(u). If f(u) = u p , 1 < p ≤ 3, we also obtain a law of large numbers for the explosion time.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10955-012-0621-8
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10955-012-0621-8
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1207.1574
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectHydrodinamic limit
dc.subjectBlow-up
dc.subjectReaction-diffusion equation
dc.subjectParticle system
dc.titleA Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-Up Time
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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