| Autor: |
C. Boldrighini, S. Frigio, P. Maponi, A. Pellegrinotti, Ya. G. Sinai |
| Přispěvatelé: |
Boldrighini, C., Frigio, S., Maponi, P., Pellegrinotti, A., Sinai, Ya. G. |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Popis: |
In the framework of the Global Regularity Problem for the incompressible Navier-Stokes (NS) equations in the whole space R3, Li and Sinai in [13] proved that there are smooth complex solutions that become singular (“blow-up”). We discuss the possible extension of the Li-Sinai approach to real solutions and report results obtained by computer simulations on the behavior of a particular solution related to the complex blow-up. Although a blow-up is excluded by axial symmetry, the solution is a good model of a “tornado-like” behavior, with a sharp increase of speed and vorticity concentrated in an annular region around the symmetry axis. We conclude with a discussion on the search of possible candidates for a real blow-up in the framework of the Li-Sinai approach. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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