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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2603.23921 |
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| _version_ | 1866917361045471232 |
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| author | Horimoto, Kotaro |
| author_facet | Horimoto, Kotaro |
| contents | This paper is concerned with the Riemann problem for the two-dimensional barotropic compressible Euler system with a general strictly increasing pressure law. By means of convex integration, the existence of infinitely many admissible weak solutions is established for certain Riemann initial data for which the corresponding one-dimensional self-similar solution consists solely of a contact discontinuity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23921 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-uniqueness of admissible weak solutions to the two-dimensional barotropic compressible Euler system with contact discontinuities Horimoto, Kotaro Analysis of PDEs This paper is concerned with the Riemann problem for the two-dimensional barotropic compressible Euler system with a general strictly increasing pressure law. By means of convex integration, the existence of infinitely many admissible weak solutions is established for certain Riemann initial data for which the corresponding one-dimensional self-similar solution consists solely of a contact discontinuity. |
| title | Non-uniqueness of admissible weak solutions to the two-dimensional barotropic compressible Euler system with contact discontinuities |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.23921 |