Breaking of vortex lines - a new mechanism of collapse in hydrodynamics
| dc.creator | Kuznetsov, E. A. | |
| dc.creator | Ruban, V. P. | |
| dc.date | 2000-09-02 | |
| dc.date.accessioned | 2026-07-07T05:44:46Z | |
| dc.date.available | 2026-07-07T05:44:46Z | |
| dc.description | A new mechanism of the collapse in hydrodynamics is suggested, due to breaking of continuously distributed vortex lines. Collapse results in formation of the point singularities of the vorticity field $|{\bfΩ}|$. At the collapse point, the value of the vorticity blows up as $(t_0-t)^{-1}$ where $t_0$ is a collapse time. The spatial structure of the collapsing distribution approaches a pancake form: contraction occurs by the law $l_1\sim(t_0-t)^{3/2}$ along the "soft" direction, the characteristic scales vanish like $l_2\sim(t_0-t)^{1/2}$ along two other ("hard") directions. This scenario of the collapse is shown to take place in the integrable three-dimensional hydrodynamics with the Hamiltonian ${\cal H}=\int|{\bfΩ}|d{\bf r}$. Most numerical studies of collapse in the Euler equation are in a good agreement with the proposed theory. | |
| dc.description | revtex, 9 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/physics/0009007 | |
| dc.identifier | http://arxiv.org/abs/physics/0009007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83768 | |
| dc.subject | Fluid Dynamics | |
| dc.title | Breaking of vortex lines - a new mechanism of collapse in hydrodynamics | |
| dc.type | text |