We consider the Suliciu model which is a relaxation approximation of the $p$-system. In the case of the Dirichlet boundary condition we prove that the local smooth solution of the $p$-system is the zero limit of the Suliciu model solutions.
Publié le : 2007-03-14
Classification:
Zero relaxation limit,
$p$-system,
Suliciu model,
boundary conditions,
35L50,
35Q72,
35B25
@article{1175797627,
author = {Carbou, Gilles and Hanouzet, Bernard},
title = {Relaxation Approximation of Some Initial-Boundary Value Problem for $p$-Systems},
journal = {Commun. Math. Sci.},
volume = {5},
number = {1},
year = {2007},
pages = { 187-203},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797627}
}
Carbou, Gilles; Hanouzet, Bernard. Relaxation Approximation of Some Initial-Boundary Value Problem for $p$-Systems. Commun. Math. Sci., Tome 5 (2007) no. 1, pp. 187-203. http://gdmltest.u-ga.fr/item/1175797627/