Variational formulation of hyperbolic conservation laws
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914594315829248 |
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| author | Tadmor, Eitan |
| author_facet | Tadmor, Eitan |
| contents | Entropy functions played a key role in the development of mathematical theory for hyperbolic conservation laws. The notion of entropy, which is intimately connected with symmetry, is an extension \emph{imposed} on nonlinear systems of conservation laws. In this context, Friedrichs raised the question whether the assumed symmetries can also be derived. We introduce a variational formulation that addresses Friedrichs' question: an entropy function is derived as an extremal object, from which we deduce, rather than impose, the maximum entropy production principle of Dafermos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24214 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Variational formulation of hyperbolic conservation laws Tadmor, Eitan Analysis of PDEs 35L65, 76N10, 35D30, 35Q31 Entropy functions played a key role in the development of mathematical theory for hyperbolic conservation laws. The notion of entropy, which is intimately connected with symmetry, is an extension \emph{imposed} on nonlinear systems of conservation laws. In this context, Friedrichs raised the question whether the assumed symmetries can also be derived. We introduce a variational formulation that addresses Friedrichs' question: an entropy function is derived as an extremal object, from which we deduce, rather than impose, the maximum entropy production principle of Dafermos. |
| title | Variational formulation of hyperbolic conservation laws |
| topic | Analysis of PDEs 35L65, 76N10, 35D30, 35Q31 |
| url | https://arxiv.org/abs/2605.24214 |