title: Laws of large numbers for mesoscopic stochastic models of reacting and diffusing particles
creator: Reichert, Christian
subject: ddc-510
subject: 510 Mathematics
description: We study the asymptotic behaviour of some mesoscopic stochastic models for systems of reacting and diffusing particles (also known as density-dependent population processes) as the number of particles goes to infinity. Our approach is related to the variational approach to solving the parabolic partial differential equations that arise as limit dynamics. We first present a result for a model that converges to a classical system of reaction-diffusion equations. In addition, we discuss two models with nonlinear diffusion that give rise to quasilinear parabolic equations in the limit.
date: 2007
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/7374/1/lln.pdf
identifier: DOI:10.11588/heidok.00007374
identifier: urn:nbn:de:bsz:16-opus-73745
identifier:   Reichert, Christian  (2007) Laws of large numbers for mesoscopic stochastic models of reacting and diffusing particles.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/7374/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng