Abstract
Abstract: 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.
Original language | English (US) |
---|---|
Pages (from-to) | 356-360 |
Number of pages | 5 |
Journal | Journal of Experimental and Theoretical Physics |
Volume | 131 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1 2020 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy