Lattice model for fast diffusion equation

F. Hernández, Mauricio Jara Bertin and F. Valentim

Stochastic Processes and their Applications, 2020, vol. 130, issue 5, 2808-2837

Abstract: We obtain a fast diffusion equation (FDE) as scaling limit of a sequence of zero-range process with symmetric unit rate. Fast diffusion effect comes from the fact that the diffusion coefficient goes to infinity as the density goes to zero. In order to capture this fast diffusion effect from a microscopic point of view we are led to consider a proper rescaling of a model with a typically high number of particles per site. Furthermore, we obtain some results on the convergence for the method of lines for FDE.

Keywords: Fast diffusion equation; Zero-range; Relative entropy method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2019.08.004

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