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Oscillatory approximations and maximum entropy principle ...
[Submitted on 4 May 2025 (v1), last revised 16 Jun 2026 (this ve · 2026-06-17 · via math updates on arXiv.org

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Abstract:We show that the measure-valued solutions of the Euler system of gas dynamics generated by oscillatory sequences of consistent approximations violate the principle of maximal entropy production formulated by Dafermos. Numerical results illustrate that solutions obtained by standard numerical methods may be oscillatory and thus do not comply with the Dafermos criterion.

Submission history

From: Changsheng Yu [view email]
[v1] Sun, 4 May 2025 11:41:40 UTC (914 KB)
[v2] Tue, 16 Jun 2026 12:04:51 UTC (1,568 KB)