The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term

被引：3

作者：

Zhang, Ting ^{[1
]}

Shen, Chun ^{[1
]}

机构：

[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China

来源：

APPLICABLE ANALYSIS | 2016年 / 95卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Burgers equation; linear forcing term; Riemann problem; shock front; generalized Rankine-Hugoniot condition; method of characteristics; HYPERBOLIC CONSERVATION-LAWS; JUMP CONDITIONS; SYSTEMS;

D O I：

10.1080/00036811.2014.1002481

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the Riemann problem for the inviscid Burgers equation with a linear forcing term is considered. The shock wave solution is obtained by combining the generalized Rankine-Hugoniot jump condition together with the method of characteristics, which reflects the impact of the inhomogeneous forcing term on the shock front. In addition, some interesting phenomena are also observed during the construction process of Riemann solution.

引用

页码：283 / 302

页数：20

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