M. Jara
Published 2008-05-03Version 1
We prove that the hydrodynamic limit of a zero-range process evolving in graphs approximating the Sierpinski gasket is given by a nonlinear heat equation. We also prove existence and uniqueness of the hydrodynamic equation by considering a finite-difference scheme.
Comments: 24 pages, 1 figure
Journal: Communications in Mathematical Physics, Volume 288, Number 2 / juin 2009, 773-797
Hydrodynamic limit for a diffusive system with boundary conditions
Hydrodynamic Limit of the Inhomogeneous $\ell$-TASEP with Open Boundaries: Derivation and Solution
Group theoretic analysis of a class of boundary value problems for a nonlinear heat equation
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