We analyze a new class of one-dimensional interacting particle
systems featuring random boundaries with a random motion that is coupled to the
local particle density. We show that the hydrodynamic limiting behavior in
these systems corresponds to the solution of an appropriate. Stefan
(free-boundary) equation and describe some applications of these results.
@article{1039639355,
author = {Chayes, L. and Swindle, G.},
title = {Hydrodynamic limits for one-dimensional particle systems with
moving boundaries},
journal = {Ann. Probab.},
volume = {24},
number = {2},
year = {1996},
pages = { 559-598},
language = {en},
url = {http://dml.mathdoc.fr/item/1039639355}
}
Chayes, L.; Swindle, G. Hydrodynamic limits for one-dimensional particle systems with
moving boundaries. Ann. Probab., Tome 24 (1996) no. 2, pp. 559-598. http://gdmltest.u-ga.fr/item/1039639355/