A microscopic mechanism for the porous medium equation

DOI10.1016/S0304-4149(96)00121-4zbMath0889.60097OpenAlexW2010940240MaRDI QIDQ1382506

Shui Feng, Ian Iscoe, Timo Seppäläinen

Publication date: 29 March 1998

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(96)00121-4

zbMATH Keywords

porous medium equationhydrodynamic scaling limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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)

Related Items

Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle, Interacting diffusions approximating the porous medium equation and propagation of chaos, Hydrodynamics of porous medium model with slow reservoirs, Hydrodynamic limit for the \(d\)-facilitated exclusion process, Stochastic particle approximations for the Ricci flow on surfaces and the Yamabe flow, Hydrodynamic limit for a particle system with degenerate rates, Lattice model for fast diffusion equation, Alternative probabilistic representations of Barenblatt-type solutions, Stochastic models associated to a nonlocal porous medium equation, Spectral gap for stochastic energy exchange model with nonuniformly positive rate function

Cites Work

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