9 citations · 18 across the 4 of their papers we have counts for
3 papers · 1 filter
Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier
Pedro Cardoso, Patrícia Gonçalves, Gabriel Nahum
In this article we derive in the hydrodynamic limit a generalized fractional porous medium equation, in the sense that the regional fractional Laplacian is applied to a function of…
From Exclusion to Slow and Fast Diffusion
Patricia Gonçalves, Gabriel Nahum, Marielle Simon
We construct a nearest-neighbour interacting particle system of exclusion type, which illustrates a transition from slow to fast diffusion. More precisely, the hydrodynamic limit o…
Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
Clément Erignoux, Patricia Gonçalves, Gabriel Nahum
The purpose of this article is to provide a simple proof of the hydrodynamic and hydrostatic behavior of the SSEP in contact with reservoirs which inject and remove particles in a…