The delta-shock wave for the two variables of a class of Temple system View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-12

AUTHORS

Guodong Wang, Jia-Bao Liu, Lin Zhao, Mingjun Hu

ABSTRACT

We investigate the Riemann problem for one-dimensional Temple class, obtain the Riemann solutions containing delta-shock wave, and discover that each variable of this system contains the Dirac delta function in different region. By the interaction of the delta-shock wave with the elementary waves we present the generalized Riemann problem for this system and construct the global solutions. By studying the limits of the solutions as perturbed parameter ε approaches zero we observe that the Riemann solutions are stable for such perturbations of the initial data. More... »

PAGES

250

References to SciGraph publications

Journal

TITLE

Advances in Difference Equations

ISSUE

1

VOLUME

2018

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13662-018-1708-6

DOI

http://dx.doi.org/10.1186/s13662-018-1708-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105762420


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