Thermally driven fluid convection in the incompressible limit regime
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916418333704192 |
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| author | Fanelli, Francesco Feireisl, Eduard |
| author_facet | Fanelli, Francesco Feireisl, Eduard |
| contents | We consider a scaled Navier--Stokes--Fourier system describing the motion of a compressible, heat-conducting, viscous fluid driven by inhomogeneous boundary temperature distribution together with the gravitational force of a massive object placed outside the fluid. We identify the limit system in the low Mach/low Froude number regime for the ill prepared initial data. The fluid is confined to a bounded cavity with acoustically hard boundary enhancing reflection of acoustic waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03881 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermally driven fluid convection in the incompressible limit regime Fanelli, Francesco Feireisl, Eduard Analysis of PDEs We consider a scaled Navier--Stokes--Fourier system describing the motion of a compressible, heat-conducting, viscous fluid driven by inhomogeneous boundary temperature distribution together with the gravitational force of a massive object placed outside the fluid. We identify the limit system in the low Mach/low Froude number regime for the ill prepared initial data. The fluid is confined to a bounded cavity with acoustically hard boundary enhancing reflection of acoustic waves. |
| title | Thermally driven fluid convection in the incompressible limit regime |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2310.03881 |