The shock wave solution to the Riemann problem for the Burgers equation with the linear forcing term. Issue 2 (1st February 2016)

• Record Type: Journal Article
• Authors: Zhang, Ting; Shen, Chun
• Is Part Of: Applicable analysis. Volume 95:Issue 2(2016)
• Page Start: 283
• Page End: 302
• Publication Date: 2016-02-01
• Subjects: Burgers equation -- linear forcing term -- Riemann problem -- shock front -- generalized Rankine–Hugoniot condition -- method of characteristics; 35L65 -- 35L67 -- 35B25 -- 90B20; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2014.1002481
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : 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.