Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909454679670784 |
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| author | Brandolese, Lorenzo Karch, Grzegorz |
| author_facet | Brandolese, Lorenzo Karch, Grzegorz |
| contents | The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant under a suitable scaling. Using the Leray-Schauder theorem and compactness arguments, we construct self-similar solutions to this system without any smallness assumptions imposed on homogeneous initial conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01093 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field Brandolese, Lorenzo Karch, Grzegorz Analysis of PDEs The Navier-Stokes system for an incompressible fluid coupled with the equation for a heat transfer is considered in the whole three dimensional space. This system is invariant under a suitable scaling. Using the Leray-Schauder theorem and compactness arguments, we construct self-similar solutions to this system without any smallness assumptions imposed on homogeneous initial conditions. |
| title | Large self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.01093 |