Generalized Riemann problem for a totally degenerate hyperbolic system

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...

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Veröffentlicht in:	Electronic journal of differential equations 2018-12, Vol.2018 (196), p.1-14
Hauptverfasser:	Richard De la cruz, Juan Carlos Juajibioy, Leonardo Rendon
Format:	Artikel
Sprache:	eng
Schlagworte:	Eulerian and Lagrangian coordinates Generalized Riemann problem interaction of elementary waves isentropic Chaplygin gas system Suliciu relaxation system
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Zusammenfassung:	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.
ISSN:	1072-6691