Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914954477568000 |
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| author | Tsai, Tai-Peng |
| author_facet | Tsai, Tai-Peng |
| contents | Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch (arXiv:2311.01093) on self-similar solutions. It follows the approach of Bradshaw and Tsai (Ann.~Henri Poincaré 2017) and find an explicit a priori bound for the deviation from suitably revised profiles in similarity variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14007 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field Tsai, Tai-Peng Analysis of PDEs 35Q30, 35Q35, 76D03 Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch (arXiv:2311.01093) on self-similar solutions. It follows the approach of Bradshaw and Tsai (Ann.~Henri Poincaré 2017) and find an explicit a priori bound for the deviation from suitably revised profiles in similarity variables. |
| title | Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field |
| topic | Analysis of PDEs 35Q30, 35Q35, 76D03 |
| url | https://arxiv.org/abs/2409.14007 |