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.