Generalized Riemann problem for a totally degenerate hyperbolic system
Date
2018-12-11
Authors
De la cruz, Richard
Juajibioy, Juan Carlos
Rendon, Leonardo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Generalized Riemann problem, Suliciu relaxation system, Isentropic Chaplygin gas system, Eulerian and Lagrangian coordinates, Interaction of elementary waves
Citation
De la cruz, R., Juajibioy, J. C., Rendón, L. (2018). Generalized Riemann problem for a totally degenerate hyperbolic system. Electronic Journal of Differential Equations, 2018(196), pp. 1-14.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.