@Article{JPDE-8-351,
author = {},
title = {Global Perturbation of the Riemann Problem for the System of Compressible Flow Through Porous Media},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {4},
pages = {351--370},
abstract = { In this paper we consider the unperturbatcd and perturbated Riemann problem for the damped quasiliuear hyperbolic system {v_t - u_x = 0 u_t + p(v)_x = -αu, α > 0, p'(v} < 0 with initial structure of two rarefaction waves or one rarefaction wave plus one shock wave. Under certain restrictions, it admits a unique global discontinuous solution in a class of piecewise continuous and piecewise smooth functions and keeps the initial structure. Moreover, the shock strength is found decaying exponentially due to damping for the later case.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5667.html}
}