Basic Wave Solution Of The Riemann Problem For One Dimensional Non-homogeneous Conservation Law Without Convexity

In this paper,we mainly study the Riemann problem of a special one dimensional non-homogeneous hyperbolic conservation law equation without convexity,and give the expression of the basic wave solution.This paper is mainly divided into following three parts:The first part is introduction,which introduces the research background,research content and main results.The second part is preliminary knowledge and important lemmas,which introduce some basic concepts,theories and important lemmas used in the process of solving one dimensional non-homogeneous hyperbolic conservation law equation without convex-ity.The third part is the concrete solving process.We use the concavity and convex-ity of the flow function and the method of constructing the convex hull to classify the problem,construct the singular structure of the basic wave solution of the problem by means of characteristic analysis,and give the expression of the basic wave solution.