4 papers · 1 filter
The Fundamental Solution for the Heat Equation on the half-line with Drift and Dirichlet Boundary Condition
Tertuliano Franco, Patrícia Gonçalves, Nicolas Perkowski +1
By a probabilistic method we provide an explicit fundamental solution of the Cauchy problem associated to the heat equation on the half-line with constant drift and Dirichlet bound…
An open microscopic model of heat conduction: evolution and non-equilibrium stationary states
Tomasz Komorowski, Stefano Olla, Marielle Simon
We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamil…
Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP
Patricia Gonçalves, Nicolas Perkowski, Marielle Simon
We consider the weakly asymmetric simple exclusion process on the discrete space , in contact with stochastic reservoirs, both with density at the extr…
Equilibrium fluctuations for the weakly asymmetric discrete Atlas model
Freddy Hernandez, Marielle Simon
This contribution aims at presenting and generalizing a recent work of Hernandez, Jara and Valentim [DOI:10.1016/j.spa.2016.06.026]. We consider the weakly asymmetric version of th…