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Hydrodynamic Limit of Gradient Exclusion Processes with Conductances

✍ Scribed by Tertuliano Franco; Claudio Landim


Publisher
Springer
Year
2009
Tongue
English
Weight
316 KB
Volume
195
Category
Article
ISSN
0003-9527

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First-order correction for the hydrodyna
✍ C. Landim; S. Olla; H. T. Yau πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 356 KB

It is well-known that the hydrodynamic limit of the asymmetric simple exclusion is governed by a viscousless Burgers equation in the Euler scale [15]. We prove that, in the same scale, the next-order correction is given by a viscous Burgers equation up to a fixed time T for dimension d β‰₯ 3 provided