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.
@article{hal-00023280,
author = {Toth, Balint and Werner, Wendelin},
title = {Hydrodynamic equation for a deposition model},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00023280}
}
Toth, Balint; Werner, Wendelin. Hydrodynamic equation for a deposition model. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00023280/