Delta Shock Wave for the Suliciu Relaxation System
Joint Authors
Juajibioy, Juan Carlos
De la cruz, Richard
Rendón, Leonardo
Galvis, Juan
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
De la cruz, Richard& Galvis, Juan& Juajibioy, Juan Carlos& Rendón, Leonardo. 2014. Delta Shock Wave for the Suliciu Relaxation System. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-465301
Modern Language Association (MLA)
De la cruz, Richard…[et al.]. Delta Shock Wave for the Suliciu Relaxation System. Advances in Mathematical Physics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-465301
American Medical Association (AMA)
De la cruz, Richard& Galvis, Juan& Juajibioy, Juan Carlos& Rendón, Leonardo. Delta Shock Wave for the Suliciu Relaxation System. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-465301
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465301