@Article{JPDE-11-245, author = {Hongxia Liu and Longwei Lin }, title = {Some Perturbation Problems on 2x2 Nonlinear Hyperbolic Conservation Laws}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {3}, pages = {245--259}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5568.html} }