Hydrodynamic equation for a deposition model

Balint Toth , Wendelin Werner (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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

Domaines: Probabilités [math.PR]; Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Balint Toth, Wendelin Werner. Hydrodynamic equation for a deposition model. 4th Brazilian School of Probability, 2000, Mambucaba, Brazil. ⟨hal-00023280⟩