The Oberbeck--Boussinesq approximation and Rayleigh--Benard convection revisited
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916119431872512 |
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| author | Feireisl, Eduard Rocca, Elisabetta Schimperna, Giulio |
| author_facet | Feireisl, Eduard Rocca, Elisabetta Schimperna, Giulio |
| contents | We consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non--local term arising in the incompressible limit of the Navier--Stokes--Fourier system. The long time behaviour of the resulting initial/boundary value problem is investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06554 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Oberbeck--Boussinesq approximation and Rayleigh--Benard convection revisited Feireisl, Eduard Rocca, Elisabetta Schimperna, Giulio Analysis of PDEs We consider the Oberbeck--Boussinesq approximation driven by an inhomogeneous temperature distribution on the boundary of a bounded fluid domain. The relevant boundary conditions are perturbed by a non--local term arising in the incompressible limit of the Navier--Stokes--Fourier system. The long time behaviour of the resulting initial/boundary value problem is investigated. |
| title | The Oberbeck--Boussinesq approximation and Rayleigh--Benard convection revisited |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.06554 |