TWENTY-EIGHT YEARS WITH “HYPERBOLIC CONSERVATION LAWS WITH RELAXATION”

doi:10.1016/S0252-9602(15)30023-0

Abstract

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.

Key words: conservation laws, relaxation, nonlinear waves, stability

CLC Number:

35L65

Corrado MASCIA. TWENTY-EIGHT YEARS WITH “HYPERBOLIC CONSERVATION LAWS WITH RELAXATION”[J].Acta mathematica scientia,Series B, 2015, 35(4): 807-831.

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