摘要
In this paper,we study the Radon measure initial value problem for the nonisentropic improved Aw-Rascle-Zhang model.For arbitrary convex F(u)in this model we construct the Riemann solutions by elementary waves andδ-shock waves using the method of generalized characteristic analysis.We obtain the solutions constructively for initial data containing the Dirac measure by taking the limit of the solutions for that with three piecewise constants.Moreover,we analyze different kinds of wave interactions,including the interactions of theδ-shock waves with elementary waves.
作者
蒋伟峰
陈停停
李彤
王振
Weifeng JIANG;Tingting CHEN;Tong LI;Zhen WANG(College of Science,Key Laboratory of Intelligent Manufacturing Quality Big Data Tracing and Analysis of Zhejiang Province,China Jiliang University,Hangzhou,310018,China;School of Mathematics and Physics,China University of Geosciences,Wuhan,430074,China;Department of Mathematics,The University of Iowa,Iowa,IA,52246,USA;Center for Mathematical Sciences and Department of Mathematics,Wuhan University of Technology,Wuhan,430070,China)
基金
supported by the Natural Science Foundation of Zhejiang(LQ18A010004)
Matematical Analysis,The First class courses in Zhejiang Province(210052)
the Fundamental Research Funds for the Provincial Universities of Zhejiang(210039)
supported by the National Natural Science Foundation of China(11771442)。
