Forward self-similar solutions of the MHD-boussinesq system with newtonian gravitational field
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910640980885504 |
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| author | Yang, Yifan |
| author_facet | Yang, Yifan |
| contents | This paper is concerned with the existence of forward self-similar solutions to the three-dimensional Magnetohydrodynamic-Boussinesq (MHD-Boussinesq) system with newtonian gravitational field. By employing a blow-up argument and the Leray-Schauder theorem, we construct a forward self-similar solution to this system without imposing any smallness assumptions on the self-similar initial value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Forward self-similar solutions of the MHD-boussinesq system with newtonian gravitational field Yang, Yifan Analysis of PDEs This paper is concerned with the existence of forward self-similar solutions to the three-dimensional Magnetohydrodynamic-Boussinesq (MHD-Boussinesq) system with newtonian gravitational field. By employing a blow-up argument and the Leray-Schauder theorem, we construct a forward self-similar solution to this system without imposing any smallness assumptions on the self-similar initial value. |
| title | Forward self-similar solutions of the MHD-boussinesq system with newtonian gravitational field |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.05847 |