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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.18450 |
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| _version_ | 1866915211505565696 |
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| author | Chamorro, Diego Mansais, Maxence |
| author_facet | Chamorro, Diego Mansais, Maxence |
| contents | In this article we study mild solutions for the forced, incompressible fractional Navier-Stokes equations. These solutions are classically obtained via a fixed-point argument which relies on suitable estimates for the initial data, the nonlinearity and the external forces. Many functional spaces can be considered, however we are mainly interested here in a critical setting which ensures the existence of global solutions. We give some examples of such critical functional spaces and we discuss their relationship with generic external forces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some general external forces and critical mild solutions for the fractional Navier-Stokes equations Chamorro, Diego Mansais, Maxence Analysis of PDEs In this article we study mild solutions for the forced, incompressible fractional Navier-Stokes equations. These solutions are classically obtained via a fixed-point argument which relies on suitable estimates for the initial data, the nonlinearity and the external forces. Many functional spaces can be considered, however we are mainly interested here in a critical setting which ensures the existence of global solutions. We give some examples of such critical functional spaces and we discuss their relationship with generic external forces. |
| title | Some general external forces and critical mild solutions for the fractional Navier-Stokes equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2503.18450 |