Mohamed Karimou Gazibo, "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, vol. 23, pp. 962-969, 2024, DOI:10.37394/23206.2024.23.99
Mohamed Karimou Gazibo. 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;23:962-969. 10.37394/23206.2024.23.99
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
About the Uniqueness of Approximate Numerical Solutions of Scalar Conservation Laws with a non Lipschitz Flux Function in an Infinite Space Domain
Author:
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.
Keywords:
Scalar conservation laws, Finite volume scheme, Modulus of continuity, Entropy formulation
Pages: 962-969 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #99 DOI: 10.37394/23206.2024.23.99
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