We prove Ole\u \i nik-type decay estimates for entropy solutions of $n\times n$ strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the source term is treated as a nonconservative product localized on a discrete lattice.
Publié le : 2004-01-05
Classification:
conservation laws,
source terms,
nonconservative products,
35L65,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00419731,
author = {Goatin, Paola and Gosse, Laurent},
title = {Decay of Positive Waves for $n \times n$ Hyperbolic Systems of Balance Laws},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00419731}
}
Goatin, Paola; Gosse, Laurent. Decay of Positive Waves for $n \times n$ Hyperbolic Systems of Balance Laws. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00419731/