A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws (Q1612586)
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scientific article; zbMATH DE number 1788023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws |
scientific article; zbMATH DE number 1788023 |
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A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws (English)
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25 August 2002
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The paper deals with the investigation of Hamilton-Jacobi equations which are closely related to scalar conservation laws. Thereby, a proof concerned with the equivalence between the unique viscosity solution of the Hamilton-Jacobi equation and the unique entropy solution of the corresponding scalar conservation law is presented. Furthermore, a front tracking algorithm for Hamilton-Jacobi equations in one dimension is derived.
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front tracking algorithm
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