First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension d > 2
Janvresse, Elise
HAL, hal-00373377 / Harvested from HAL
The hydrodynamic limit of the symmetric simple exclusion process with speed change is given by a diffusive equation in the appropriate scale. Following the non gradient method introduced by Varadhan and Navier-Stokes methods developped by Yau, we prove that in the same scale, the next order correction is given by a third order equation for dimension d > 2.
Publié le : 1998-07-05
Classification:  Infinite interacting particle systems,  hydrodynamic limit,  non gradient methods,  symmetric simple excusion process,  60K35; 82C22,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00373377,
     author = {Janvresse, Elise},
     title = {First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension d > 2},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373377}
}
Janvresse, Elise. First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension d > 2. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373377/