Hydrodynamic equation for a deposition model
Balint Toth, Wendelin Werner
Abstract
We show that the two-component system of hyperbolic conservation laws ∂t ρ+ ∂x (ρu) =0 = ∂t u + ∂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 ∂t ρ+ ∂x (ρu) =0 = ∂t u + ∂x ρ appears naturally in the formally computed hydrodynamic limit of some randomly growing interface models, and we study some properties of this system.
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