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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.09781 |
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| _version_ | 1866917639744389120 |
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| author | Gomes, André Neves, Wladimir |
| author_facet | Gomes, André Neves, Wladimir |
| contents | This paper proposes a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiff pressure law. Passing to the incompressible limit, the compressible model gives rise to a Hele-Shaw type free boundary limit of Buckley-Leverett System, and it is shown the existence of a weak solution of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09781 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Hele-Shaw free boundary limit of Buckley-Leverett System Gomes, André Neves, Wladimir Analysis of PDEs 35R35, 35B25, 76D27 This paper proposes a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiff pressure law. Passing to the incompressible limit, the compressible model gives rise to a Hele-Shaw type free boundary limit of Buckley-Leverett System, and it is shown the existence of a weak solution of it. |
| title | The Hele-Shaw free boundary limit of Buckley-Leverett System |
| topic | Analysis of PDEs 35R35, 35B25, 76D27 |
| url | https://arxiv.org/abs/2404.09781 |