Richard De la cruz, Juan Carlos Juajibioy, Leonardo Rendón
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.
Submitted October 12, 2017. Published December 11, 2018.
Math Subject Classifications: 35L45, 35L60.
Key Words: Generalized Riemann problem; Suliciu relaxation system;
isentropic Chaplygin gas system; Eulerian and Lagrangian coordinates;
interaction of elementary waves.
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Richard De la cruz School of Mathematics and Statistics Universidad Pedagógica y Tecnológica de Colombia Tunja, Colombia email: richard.delacruz@uptc.edu.co |
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Juan Carlos Juajibioy School of Mathematics and Statistics Universidad Pedagógica y Tecnológica de Colombia Tunja, Colombia email: juan.juajibioy@uptc.edu.co |
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Leonardo Rendón Department of Mathematics Universidad Nacional de Colombia Bogotá, Colombia email: lrendona@unal.edu.co |
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