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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.16175 |
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| _version_ | 1866914811549319168 |
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| author | Hamdache, Kamel Hamroun, Djamila Jaffal-Mourtada, Basma |
| author_facet | Hamdache, Kamel Hamroun, Djamila Jaffal-Mourtada, Basma |
| contents | In this work we prove the existence of time-periodic solutions to a model describing a ferrofluid flow heated from below.
Navier-Stokes equations satisfied by the fluid velocity are coupled to the temperature equation and the magnetostatic equation satisfied by the magnetic potential. The magnetization is assumed to be parallel to the magnetic field and is given by a non-linear magnetization law generalizing the Langevin law. The proof is based on a semi-Galerkin approximation and regularization methods together with the fixed point method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16175 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-periodic solutions to heated ferrofluid flow models Hamdache, Kamel Hamroun, Djamila Jaffal-Mourtada, Basma Analysis of PDEs 35Q35, 76D05 In this work we prove the existence of time-periodic solutions to a model describing a ferrofluid flow heated from below. Navier-Stokes equations satisfied by the fluid velocity are coupled to the temperature equation and the magnetostatic equation satisfied by the magnetic potential. The magnetization is assumed to be parallel to the magnetic field and is given by a non-linear magnetization law generalizing the Langevin law. The proof is based on a semi-Galerkin approximation and regularization methods together with the fixed point method. |
| title | Time-periodic solutions to heated ferrofluid flow models |
| topic | Analysis of PDEs 35Q35, 76D05 |
| url | https://arxiv.org/abs/2405.16175 |