Abstract: | This paper is a review on the results inspired by the publication Hyperbolic conservation laws with relaxation by Tai-Ping Liu [1], with emphasis on the topic of nonlinear waves(specifically, rarefaction and shock waves). The aim is twofold: firstly, to report in details the impact of the article on the subsequent research in the area; secondly, to detect research trends which merit attention in the(near) future. |