On the Validity of Chapman-Enskog expansion for shock waves with small strength
Bedjaoui, Nabil ; Klingenberg, Christian ; LeFloch, Philippe G.
HAL, hal-00003736 / Harvested from HAL
Text on HAL
We justify a Chapman-Enskog expansion for discontinuous solutions of hyperbolic conservation laws containing shock waves with small strength. Precisely, we establish pointwise uniform estimates for the difference between the traveling waves of a relaxation model and the traveling waves of the corresponding diffusive equations determined by a Chapman-Enskog expansion procedure to first- or second-order.
Publié le : 2004-07-05
Classification:  diffusion,  Chapman-Enskog expansion,  shock wave,  traveling wave,  relaxation,  conservation law,  hyperbolic,  AMS 35L65, 76N10,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00003736,
     author = {Bedjaoui, Nabil and Klingenberg, Christian and LeFloch, Philippe G.},
     title = {On the Validity of Chapman-Enskog expansion for shock waves with small strength},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003736}
}

Bedjaoui, Nabil; Klingenberg, Christian; LeFloch, Philippe G. On the Validity of Chapman-Enskog expansion for shock waves with small strength. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003736/