150 citations · 714 across the 49 of their papers we have counts for
4 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…
Regional Fractional Stochastic Burgers from random interactions
Pedro Cardoso, Patrícia Gonçalves
The purpose of this article is to derive the crossover from the Ornstein-Uhlenbeck process to energy solutions of the stochastic Burgers equation with characteristic operators give…
A novel approach to hydrodynamics for long-range generalized exclusion
Patrícia Gonçalves, Julian Kern, Lu Xu
We consider a class of generalized long-range exclusion processes evolving either on or on a finite lattice with an open boundary. The jump rates are given in terms of…
Linear and Nonlinear Fractional PDEs from interacting particle systems
Pedro Cardoso, Patrícia Gonçalves
In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a family of long range interacting particle systems of exclusion type with symmetric rates…