Construction of Global Weak Entropy Solution of Initial-Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux

• 作者: Jing Zhang Yihong Dai
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: SCALAR Conservation LAWS with WEAK Discontinuous Flux Initial-Boundary Value Problem Elementary Wave Interaction Structure of GLOBAL WEAK Entropy Solution
• 年，卷（期）: mgjssxqkyw_2017,（4）
• 页码范围: 451-468
• 页数: 18页
• 分类号: O1

摘要

This paper is concerned with the initial-boundary value problem of scalar conservation laws with weak discontinuous flux, whose initial data are a function with two pieces of constant and whose boundary data are a constant function. Under the condition that the flux function has a finite number of weak discontinuous points, by using the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method to the global weak entropy solution for this initial-boundary value problem, and by investigating the interaction of elementary waves and the boundary, we clarify the geometric structure and the behavior of boundary for the weak entropy solution.