Abstract: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.
| Subjects: | Analysis of PDEs (math.AP) |
| MSC classes: | 35L65, 76N10, 35D30, 35Q31 |
| Cite as: | arXiv:2605.24214 [math.AP] |
| (or arXiv:2605.24214v1 [math.AP] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24214 arXiv-issued DOI via DataCite (pending registration) |
From: Eitan Tadmor [view email]
[v1]
Fri, 22 May 2026 20:56:41 UTC (24 KB)
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