Smooth Solutions of the Navier-Stokes Equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908461670858752 |
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| author | Glimm, James Petrillo, Jarret |
| author_facet | Glimm, James Petrillo, Jarret |
| contents | Smooth solutions of the Navier-Stokes equation with smooth but otherwise unconstrained initial conditions are constructed, to solve the Millennium fluids problem in the positive. The smooth solutions are the mean values of general weak solutions and are alternately characterized as the entropy production minimizing solutions. The construction occurs in a finite periodic cube. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13816 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Smooth Solutions of the Navier-Stokes Equation Glimm, James Petrillo, Jarret Analysis of PDEs Mathematical Physics Smooth solutions of the Navier-Stokes equation with smooth but otherwise unconstrained initial conditions are constructed, to solve the Millennium fluids problem in the positive. The smooth solutions are the mean values of general weak solutions and are alternately characterized as the entropy production minimizing solutions. The construction occurs in a finite periodic cube. |
| title | Smooth Solutions of the Navier-Stokes Equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2505.13816 |