Delta Shock Wave for the Suliciu Relaxation System

Richard De la cruz, Juan Galvis, Juan Carlos Juajibioy and Leonardo Rendón

Advances in Mathematical Physics, 2014, vol. 2014, 1-11

Abstract:

We study the one-dimensional Riemann problem for a hyperbolic system of three conservation laws of Temple class. This system is a simplification of a recently proposed system of five conservations laws by Bouchut and Boyaval that model viscoelastic fluids. An important issue is that the considered system is such that every characteristic field is linearly degenerate. We show an explicit solution for the Cauchy problem with initial data in . We also study 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:354349

DOI: 10.1155/2014/354349

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