Derivation of the fractional porous medium equation from a microscopic dynamics

Abstract

In this article we derive the fractional porous medium equation for any power of the fractional Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles with long range interactions, but the jump rate highly depends on the occupancy near the sites where the interactions take place.

References in corpus (2)

• Hydrodynamic limit of particle systems with long jumps
• From Exclusion to Slow and Fast Diffusion

Cited by in corpus (1)

• The stochastic porous medium equation in one dimension