most citedStrong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process

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math.PR2010

A variational approach to the stationary solutions of Burgers equation

Lorenzo Bertini, Marcello Ponsiglione

Consider the viscous Burgers equation on a bounded interval with inhomogeneous Dirichlet boundary conditions. Following the variational framework introduced by Bertini-De Sole-Gabr…

math.PR2008★ 17 cited

Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process

Lorenzo Bertini, Davide Gabrielli, Claudio Landim

We consider the weakly asymmetric exclusion process on a bounded interval with particles reservoirs at the endpoints. The hydrodynamic limit for the empirical density, obtained in…