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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2404.13243 |
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| _version_ | 1866911846260277248 |
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| author | Dalgo, Pedro Gabriel Fernández Jarrín, Oscar |
| author_facet | Dalgo, Pedro Gabriel Fernández Jarrín, Oscar |
| contents | In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct local in time mild solutions to this system where the temperature term belongs to Sobolev spaces of negative order. Our main contribution is to show how the coupled structure of the Boussinesq system allows us to considerably weaken the regularity in the temperature term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mild solutions to the 3D-Boussinesq system with weakened initial temperature Dalgo, Pedro Gabriel Fernández Jarrín, Oscar Analysis of PDEs In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct local in time mild solutions to this system where the temperature term belongs to Sobolev spaces of negative order. Our main contribution is to show how the coupled structure of the Boussinesq system allows us to considerably weaken the regularity in the temperature term. |
| title | Mild solutions to the 3D-Boussinesq system with weakened initial temperature |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.13243 |