A class of stochastic evolutions that scale to the porous medium equation

DOI10.1007/BF02174218zbMath0947.60090OpenAlexW2086287295MaRDI QIDQ1285277

Timo Seppäläinen, Shui Feng, Ian Iscoe

Publication date: 17 June 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02174218

zbMATH Keywords

porous medium equationhydrodynamic scaling limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Degenerate parabolic equations (35K65) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Hydrodynamic limit for a spin system on a multidimensional lattice