Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916719500460032 |
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| author | Feireisl, Eduard Lukáčová-Medvid'ová, Mária Yu, Changsheng |
| author_facet | Feireisl, Eduard Lukáčová-Medvid'ová, Mária Yu, Changsheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02070 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics Feireisl, Eduard Lukáčová-Medvid'ová, Mária Yu, Changsheng Analysis of PDEs 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. |
| title | Oscillatory approximations and maximum entropy principle for the Euler system of gas dynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.02070 |