Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914002781601792 |
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| author | Fujii, Mikihiro Tsurumi, Hiroyuki Zhang, Xin |
| author_facet | Fujii, Mikihiro Tsurumi, Hiroyuki Zhang, Xin |
| contents | In this paper, we establish the well-posedness results of the three dimensional stationary Navier--Stokes equations (SNS) in some critical hybrid type Besov spaces with respect to the scaling invariant structure of (SNS). Although such critical functional spaces contain the functions with singularities, we give some sufficient conditions such that the $L^{\infty}$-norm of the solutions of (SNS) decay at the infinity within some polynomial type rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity Fujii, Mikihiro Tsurumi, Hiroyuki Zhang, Xin Analysis of PDEs 35Q35, 76D03, 76D05 In this paper, we establish the well-posedness results of the three dimensional stationary Navier--Stokes equations (SNS) in some critical hybrid type Besov spaces with respect to the scaling invariant structure of (SNS). Although such critical functional spaces contain the functions with singularities, we give some sufficient conditions such that the $L^{\infty}$-norm of the solutions of (SNS) decay at the infinity within some polynomial type rate. |
| title | Decay rates of three dimensional stationary Navier--Stokes flows at the spatial infinity |
| topic | Analysis of PDEs 35Q35, 76D03, 76D05 |
| url | https://arxiv.org/abs/2508.17723 |