Delta shock wave for a 3 × 3 hyperbolic system of conservation laws |
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Authors: | Richard De la cruz Juan Galvis Juan Carlos Juajibioy Leonardo Rendón |
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Abstract: | We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. The system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that models viscoelastic fluids. An important issue is that the considered 3×3 system is such that every characteristic field is linearly degenerate. We study theRiemann problemfor this system and under suitable generalized Rankine-Hugoniot relation and entropy condition, both existence and uniqueness of particular delta shock type solutions are established. |
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