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

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.

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Journal
WSEAS TRANSACTIONS ON MATHEMATICS
Published
2024-12-31
DOI
https://doi.org/10.37394/23206.2024.23.99
Primary Topic
Computational Fluid Dynamics and Aerodynamics
Type
article
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article

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

Mohamed Karimou Gazibo
WSEAS TRANSACTIONS ON MATHEMATICS
Computational Fluid Dynamics and Aerodynamics
article

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

Mohamed Karimou Gazibo
article en

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.

WSEAS TRANSACTIONS ON MATHEMATICSVol. 23
Université Abdou Moumouni (NE)
Openalex Percentile: Top 72%
Computational Fluid Dynamics and Aerodynamics
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About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain — Mohamed Karimou Gazibo · WSEAS TRANSACTIONS ON MATHEMATICS (2024) | TGRS Research Map | TGRS