Shocks in Asymmetric Exclusion Automata
Ferrari, P. A. ; Ravishankar, K.
Ann. Appl. Probab., Tome 2 (1992) no. 4, p. 928-941 / Harvested from Project Euclid
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A one-dimensional cellular automaton with conservative dynamics is studied. The automaton are a special case of the Boghosian-Levermore model, a probabilistic automaton, that has been used as a microscopic approximation for the Burgers equation. We study the stationary measures, the hydrodynamical limit and the existence of a microscopic interface.
Publié le : 1992-11-14
Classification:  Burgers' equation,  cellular automata,  conservation laws,  hydrodynamic limit,  microscopic shock,  60K35 
@article{1177005581,
     author = {Ferrari, P. A. and Ravishankar, K.},
     title = {Shocks in Asymmetric Exclusion Automata},
     journal = {Ann. Appl. Probab.},
     volume = {2},
     number = {4},
     year = {1992},
     pages = { 928-941},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177005581}
}

Ferrari, P. A.; Ravishankar, K. Shocks in Asymmetric Exclusion Automata. Ann. Appl. Probab., Tome 2 (1992) no. 4, pp.  928-941. http://gdmltest.u-ga.fr/item/1177005581/