Stability analysis of time-periodic solutions to the Navier-Stokes-Fourier system in 3D whole space
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910043210776576 |
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| author | Deguchi, Naoto |
| author_facet | Deguchi, Naoto |
| contents | This paper concerns the large-time behavior of perturbations around a time-periodic solution to the Navier-Stokes-Fourier system in the three-dimensional whole space. The time-periodic solution exists when a given external force is small enough. We derive the time-decay estimate of the perturbation under the assumption that an initial perturbation is sufficiently small. The time-space integral estimate for the linearized semigroup around the constant state in the Besov spaces is effectively applied in the proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00034 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis of time-periodic solutions to the Navier-Stokes-Fourier system in 3D whole space Deguchi, Naoto Analysis of PDEs This paper concerns the large-time behavior of perturbations around a time-periodic solution to the Navier-Stokes-Fourier system in the three-dimensional whole space. The time-periodic solution exists when a given external force is small enough. We derive the time-decay estimate of the perturbation under the assumption that an initial perturbation is sufficiently small. The time-space integral estimate for the linearized semigroup around the constant state in the Besov spaces is effectively applied in the proof. |
| title | Stability analysis of time-periodic solutions to the Navier-Stokes-Fourier system in 3D whole space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.00034 |