Hydrodynamic equation for a deposition model

Abstract

We show that the two-component system of hyperbolic conservation laws ∂t + ∂x ( u) =0 = ∂t u + ∂x 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 + ∂x ( u) =0 = ∂t u + ∂x 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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