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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2603.29619 |
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| _version_ | 1866915902490935296 |
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| author | Feireisl, Eduard |
| author_facet | Feireisl, Eduard |
| contents | This is a survey highlighting several recent results concerning well/ill posedness of the Euler system of gas dynamics. Solutions of the system are identified as limits of consistent approximations generated either by physically more complex problems, notably the Navier- Stokes-Fourier system, or by the approximate schemes in numerical experiments. The role of the fundamental principles encoded in the First and Second law of thermodynamics in identifying a unique physically admissible solution is examined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29619 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Euler system of gas dynamics Feireisl, Eduard Analysis of PDEs This is a survey highlighting several recent results concerning well/ill posedness of the Euler system of gas dynamics. Solutions of the system are identified as limits of consistent approximations generated either by physically more complex problems, notably the Navier- Stokes-Fourier system, or by the approximate schemes in numerical experiments. The role of the fundamental principles encoded in the First and Second law of thermodynamics in identifying a unique physically admissible solution is examined. |
| title | The Euler system of gas dynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.29619 |