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paper

Hydrodynamic equation for a deposition model

arXiv:math/0012232

Abstract

We show that the two-component system of hyperbolic conservation laws $\partial_t ρ+ \partial_x (ρu) =0 = \partial_t u + \partial_x ρ$ appears naturally in the formally computed hydrodynamic limit of some randomly growing interface models, and we study some properties of this system. We show that the two-component system of hyperbolic conservation laws $\partial_t ρ+ \partial_x (ρu) =0 = \partial_t u + \partial_x ρ$ appears naturally in the formally computed hydrodynamic limit of some randomly growing interface models, and we study some properties of this system.

25 pages, 2 figures, conference proceedings