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, issue 1

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 3 × 3 system is such that every characteristic field is linearly degenerate. We show an explicit solution for the Cauchy problem with initial data in L∞. 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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https://doi.org/10.1155/2014/354349

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:354349

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