A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume

Abstract : We consider a two species process which evolves in a finite or infinite domain in contact with particles reservoirs at different densities, according to the superposition of a generalised contact process and a rapid-stirring dynamics in the bulk of the domain, and a creation/annihilation mechanism at its boundaries. For this process, we study the law of large numbers for densities and current. The limiting equations are given by a system of non-linear reaction-diffusion equations with Dirichlet boundary conditions.
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Submitted on : Monday, October 31, 2016 - 7:10:38 PM
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Kevin Kuoch, Mustapha Mourragui, Ellen Saada. A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume. Stochastic Processes and their Applications, Elsevier, 2017, 127 (1), pp.135-178. ⟨http://dx.doi.org/10.1016/j.spa.2016.06.004⟩. ⟨10.1016/j.spa.2016.06.004⟩. ⟨hal-01208041v2⟩

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