Generalized Riemann problem for a totally degenerate hyperbolic system

• Main Authors: Richard De la cruz, Juan Carlos Juajibioy, Leonardo Rendon
• Format: Article
• Language: English
• Published: Texas State University 2018-12-01
• Series: Electronic Journal of Differential Equations
• Subjects: Generalized Riemann problem; Suliciu relaxation system; isentropic Chaplygin gas system; Eulerian and Lagrangian coordinates; interaction of elementary waves
• Online Access: http://ejde.math.txstate.edu/Volumes/2018/196/abstr.html
• ISSN: 1072-6691

We consider the generalized Riemann problem for the Suliciu relaxation system in Lagrangian coordinates and we calculate the first-order expansion given by LeFloch and Raviart to verify our results, then we show the explicit solution for the generalized Riemann problem in Eulerian coordinates, which has a similar structure as the classical Riemann problem.