WSEAS Transactions on Mathematics
,  volume 23 ,  pages 962-969

About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain

Publication type: Journal Article
Publication date: 2024-12-31
scimago Q3
SJR: 0.290
CiteScore: 1.5
Impact factor: —
ISSN: 11092769, 22242880
Abstract

In this note, we investigate about discrete entropy solution of scalar conservation law. We establish uniqueness of finite volume approximate solution to scalar conservation laws with a non Lipschitz flux function in the whole space. Our arguments are based on properties of moduli of continuity of the components of the numerical flux.

Found 

Are you a researcher?

Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
0
Share
Cite this
GOST |
Cite this
GOST Copy
Gazibo M. K. About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain // WSEAS Transactions on Mathematics. 2024. Vol. 23. pp. 962-969.
GOST all authors (up to 50) Copy
Gazibo M. K. About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain // WSEAS Transactions on Mathematics. 2024. Vol. 23. pp. 962-969.
RIS |
Cite this
RIS Copy
TY - JOUR
DO - 10.37394/23206.2024.23.99
UR - https://wseas.com/journals/mathematics/2024/b985106-2069.pdf
TI - About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain
T2 - WSEAS Transactions on Mathematics
AU - Gazibo, Mohamed Karimou
PY - 2024
DA - 2024/12/31
PB - World Scientific and Engineering Academy and Society (WSEAS)
SP - 962-969
VL - 23
SN - 1109-2769
SN - 2224-2880
ER -
BibTex
Cite this
BibTex (up to 50 authors) Copy
@article{2024_Gazibo,
author = {Mohamed Karimou Gazibo},
title = {About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain},
journal = {WSEAS Transactions on Mathematics},
year = {2024},
volume = {23},
publisher = {World Scientific and Engineering Academy and Society (WSEAS)},
month = {dec},
url = {https://wseas.com/journals/mathematics/2024/b985106-2069.pdf},
pages = {962--969},
doi = {10.37394/23206.2024.23.99}
}