Generalized Riemann problem for a totally degenerate hyperbolic system

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, w...

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Bibliographic Details
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
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spelling doaj-c6b2af6b0a9a4f96b789eee17be798982020-11-25T00:13:21ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-12-012018196,114Generalized Riemann problem for a totally degenerate hyperbolic systemRichard De la cruz0Juan Carlos Juajibioy1Leonardo Rendon2 Univ. Pedagogica y Tec. de Colombia, Tunja, Colombia Univ. Pedagogica y Tec. de Colombia, Tunja, Colombia Univ. Nacional de Colombia, Bogota, Colombia 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.http://ejde.math.txstate.edu/Volumes/2018/196/abstr.htmlGeneralized Riemann problemSuliciu relaxation systemisentropic Chaplygin gas systemEulerian and Lagrangian coordinatesinteraction of elementary waves
collection DOAJ
language English
format Article
sources DOAJ
author Richard De la cruz
Juan Carlos Juajibioy
Leonardo Rendon
spellingShingle Richard De la cruz
Juan Carlos Juajibioy
Leonardo Rendon
Generalized Riemann problem for a totally degenerate hyperbolic system
Electronic Journal of Differential Equations
Generalized Riemann problem
Suliciu relaxation system
isentropic Chaplygin gas system
Eulerian and Lagrangian coordinates
interaction of elementary waves
author_facet Richard De la cruz
Juan Carlos Juajibioy
Leonardo Rendon
author_sort Richard De la cruz
title Generalized Riemann problem for a totally degenerate hyperbolic system
title_short Generalized Riemann problem for a totally degenerate hyperbolic system
title_full Generalized Riemann problem for a totally degenerate hyperbolic system
title_fullStr Generalized Riemann problem for a totally degenerate hyperbolic system
title_full_unstemmed Generalized Riemann problem for a totally degenerate hyperbolic system
title_sort generalized riemann problem for a totally degenerate hyperbolic system
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2018-12-01
description 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.
topic Generalized Riemann problem
Suliciu relaxation system
isentropic Chaplygin gas system
Eulerian and Lagrangian coordinates
interaction of elementary waves
url http://ejde.math.txstate.edu/Volumes/2018/196/abstr.html
work_keys_str_mv AT richarddelacruz generalizedriemannproblemforatotallydegeneratehyperbolicsystem
AT juancarlosjuajibioy generalizedriemannproblemforatotallydegeneratehyperbolicsystem
AT leonardorendon generalizedriemannproblemforatotallydegeneratehyperbolicsystem
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