TY - JOUR
T1 - Some Perturbation Problems on 2x2 Nonlinear Hyperbolic Conservation Laws
AU - Hongxia Liu  & Longwei Lin 
JO - Journal of Partial Differential Equations
VL - 3
SP - 245
EP - 259
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5568.html
KW - 2 × 2 genuinely nonlinear strictly hyperbolic conservation laws
KW - perturbed problem
KW - elementary waves with interuction
AB -  We study in this paper the perturbation of elementary waves with interactions: overtaking of shock waves belonging to the same characteristic family and penetrating of a shock wave and a rarefaction wave belonging to the different characteristic family for 2 × 2 genuinely nonlinear strictly hyperbolic conservation laws. The entropy solutions for the perturbed problems are obtained by the Glimm's scheme.