期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2018
卷号：8
期号：4
页码：326-342
DOI：10.4236/ajcm.2018.84026
语种：English
出版社：Scientific Research Publishing
摘要：This paper is concerned with the initial-boundary value problem of a nonlinear conservation law in the half space R+= {x x > 0} where a>0 , u(x,t) is an unknown function of x ∈ R+ and t>0 , u ± , um are three given constants satisfying um=u+≠u- or um=u-≠u+ , and the flux function f is a given continuous function with a weak discontinuous point ud. The main purpose of our present manuscript is devoted to studying the structure of the global weak entropy solution for the above initial-boundary value problem under the condition of f '-(ud) > f '+(ud). By the characteristic method and the truncation method, we construct the global weak entropy solution of this initial-boundary value problem, and investigate the interaction of elementary waves with the boundary and the boundary behavior of the weak entropy solution.
关键词：Nonlinear Conservation Laws with Weak Discontinuous Flux;Initial-Boundary Value Problem;Shock Wave;Rarefaction Wave;Contact Discontinuity;Interaction;Structure of Global Weak Entropy Solution
