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math.PR2024
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…
math.PR2019
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…