Blockage hydrodynamics of one-dimensional driven conservative systems
Bahadoran, Christophe
Ann. Probab., Tome 32 (2004) no. 1A, p. 805-854 / Harvested from Project Euclid
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We consider an arbitrary one-dimensional conservative particle system with finite-range interactions and finite site capacity, governed on the hydrodynamic scale by a scalar conservation law with Lipschitz-continuous flux h. A finite-size perturbation restricts the local current to some maximum value $\phi$. We show that the perturbed hydrodynamic behavior is entirely determined by $\phi$ if $\inf(h;\phi)$ is first nondecreasing and then nonincreasing, which we believe is a necessary condition.
Publié le : 2004-01-14
Classification:  Conservative particle system,  local perturbation,  hydrodynamic limit,  scalar conservation law,  modified entropy condition,  boundary condition,  nonentropy solution,  60K35,  82C22,  35L65,  35L67 
@article{1079021465,
     author = {Bahadoran, Christophe},
     title = {Blockage hydrodynamics of one-dimensional driven conservative systems},
     journal = {Ann. Probab.},
     volume = {32},
     number = {1A},
     year = {2004},
     pages = { 805-854},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1079021465}
}

Bahadoran, Christophe. Blockage hydrodynamics of one-dimensional driven conservative systems. Ann. Probab., Tome 32 (2004) no. 1A, pp.  805-854. http://gdmltest.u-ga.fr/item/1079021465/