Criterion of hyperbolicity for non‐conservative quasilinear systems admitting a partially convex conservation law |
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| Authors: | A Forestier S Gavrilyuk |
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| Institution: | 1. Bat 523 DEN/DANS, CEN Saclay, , 91191 Gif Sur Yvette Cedex, France;2. University Aix-Marseille, Polytech Marseille, UMR CNRS 6595 IUSTI, , 13453 Marseille Cedex 13, France |
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| Abstract: | A system of conservation laws admitting an additional convex conservation law can be written as a symmetric t‐hyperbolic in the sense of Friedrichs system. However, in mathematical modeling of complex physical phenomena, it is customary to use non‐conservative hyperbolic models. We generalize the Godunov–Friedrichs–Lax approach to this new class of models. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | symmetric t‐hyperbolic systems non‐conservative systems |
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