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Global Perturbation of the Riemann Problem for the System of Compressible Flow Through Porous Media
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@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}
}
TY - JOUR
T1 - Global Perturbation of the Riemann Problem for the System of Compressible Flow Through Porous Media
JO - Journal of Partial Differential Equations
VL - 4
SP - 351
EP - 370
PY - 1995
DA - 1995/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5667.html
KW - Hyperbolic
KW - Riemann problem
KW - perturbation
KW - global structure
AB - 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.
Shaoqiang Tang & Ling Xiao . (2019). Global Perturbation of the Riemann Problem for the System of Compressible Flow Through Porous Media.
Journal of Partial Differential Equations. 8 (4).
351-370.
doi:
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