Delta shock wave for a $3 \times 3$ hyperbolic system of conservation laws
| Autor: | De la cruz, Richard, Juajibioy, Juan C., Galvis, Juan, Rendón, Leonardo |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00574-016-0138-x |
| Popis: | We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This systems it is a simplification of a recently propose system of five conservations laws by Bouchut and Boyaval that model viscoelastic fluids. An important issues is that the considered $3 \times 3$ system is such that every characteristic field is linearly degenerate. We show the Riemann problem for this system. Under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of particular delta-shock type solutions are established. Comment: arXiv admin note: text overlap with arXiv:1311.4509 |
| Databáze: | arXiv |
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