Gespeichert in:
| 1. Verfasser: | |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2002.08270 |
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Inhaltsangabe:
- We establish the existence of a uniformly bounded $ C^\infty $ solution of the Navier-Stokes equations on $\mathbb{R}^3 x\ [0, \infty) $ without external forces or boundaries for a divergence free initial condition $ u_o \in \cap_m H^m $ when the viscosity $ ν$ is $ > 0 $. Such $ C^\infty $ solution of the Navier-Stokes equations are a solution of Option A of the Millenium Prize Problem of the Clay Institute for the Navier-Stokes equations.