Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917137189175296 |
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| author | Lemarié-Rieusset, Pierre Gilles |
| author_facet | Lemarié-Rieusset, Pierre Gilles |
| contents | We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces , using Calder{ó}n splitting L p $Φ$$γ$ $\subset$ L 2 $Φ$ 2 + L r (with some r $\in$ (3, +$\infty$)) and energy controls in L 2 $Φ$ 2 . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces Lemarié-Rieusset, Pierre Gilles Analysis of PDEs We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces , using Calder{ó}n splitting L p $Φ$$γ$ $\subset$ L 2 $Φ$ 2 + L r (with some r $\in$ (3, +$\infty$)) and energy controls in L 2 $Φ$ 2 . |
| title | Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.09770 |