A microscopic mechanism for the porous medium equation

Shui Feng, Ian Iscoe and Timo Seppäläinen

Stochastic Processes and their Applications, 1997, vol. 66, issue 2, 147-182

Abstract: The porous medium equation on a d-dimensional torus is obtained as a hydrodynamic scaling limit, with the usual diffusion scaling, of the empirical measures of a sequence of reversible Markov jump processes on approximating periodic lattices. Each process can be viewed as a randomly interacting configuration of sticks (or energies, etc.). The configuration evolves through exchanges of stick portions that occur between nearest neighbours through a zero-range pressure mechanism, with conservation of total sticklength.

Keywords: Porous; medium; equation; Hydrodynamic; scaling; limit (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (3)

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