相对论p-系统的Riemann问题及基本波的相互作用（英文）  

Riemann problem and interaction of elementary waves for relativistic p-system

作　　者：张加毅 赖耕[1] ZHANG Jiayi;LAI Geng(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2018年第4期813-830,共18页Communication on Applied Mathematics and Computation

摘　　要：研究了具有一般状态方程p=p(ρ)相对论p-系统的Riemann问题及其波的相互作用.利用相平面分析的方法得到了这些问题整体熵解的存在性及唯一性,将Chen的有关p=ρ~γ的相关工作(Chen J. Conservation laws for the relativistic p-system. Communications in Partial Differential Equations, 1995, 20(9/10):1605-1646)推广到了更一般的状态方程.The Riemann problem and the interaction of elementary waves for the relativistic p-system with the general pressure law p=p(ρ)are studied.The existence and the uniqueness of global solutions to these problems are obtained by the method of phase plane analysis.This generalizes the result for the relativistic psystem with the pressure law p=ρ^γof Chen's research(Chen J.Conservation laws for the relativistic p-system.Communications in Partial Differential Equations,1995,20(9/10):1605-1646)to the general pressure law.

关 键 词：相对论p-系统 RIEMANN问题 激波 稀疏波 波的相互作用 

分 类 号：O175.27[理学—数学] O175.29[理学—基础数学]