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. <i>Electronic Journal of Differential Equations, 2018</i>(196), pp. 1-14.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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