A Lorenz Model for an Anelastic Oberbeck-Boussinesq System
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916353204551680 |
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| author | Grandi, Diego Passerini, Arianna Trullo, Manuela |
| author_facet | Grandi, Diego Passerini, Arianna Trullo, Manuela |
| contents | In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the Bénard problem occurs at a higher critical Rayleigh number. Since of the difficulties related to the new partial differential equations, with non constant coefficients and a non divergence-free velocity field, we show the increased stability of the rest state by exploring the related Lorenz approximation system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05830 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Lorenz Model for an Anelastic Oberbeck-Boussinesq System Grandi, Diego Passerini, Arianna Trullo, Manuela Analysis of PDEs Mathematical Physics In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the Bénard problem occurs at a higher critical Rayleigh number. Since of the difficulties related to the new partial differential equations, with non constant coefficients and a non divergence-free velocity field, we show the increased stability of the rest state by exploring the related Lorenz approximation system. |
| title | A Lorenz Model for an Anelastic Oberbeck-Boussinesq System |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2408.05830 |