000014772 001__ 14772 000014772 005__ 20161115100201.0 000014772 04107 $$aeng 000014772 046__ $$k2016-08-21 000014772 100__ $$aKudela, Henryk 000014772 24500 $$aCollapse Vortices and Filaments of Vorticity 000014772 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014772 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014772 506__ $$arestricted 000014772 520__ $$2eng$$aThe system of a finite number of point vortices that are in self-similar motion, under suitable conditions that are related to the initial positions and circulations of the vortices, can collapse to the point with finite time. The initial positions that lead to the collapse can be found numerically. An explicit solution for collapsing trajectory is derived. The numerical evidence is presented that collapsing vortices may organized itself in vortex sheets. In the distribution of vortices one can clearly notices some regular structures. Examples of the collapsing configurations of vortices is presented. 000014772 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014772 653__ $$a 000014772 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014772 720__ $$aKudela, Henryk 000014772 8560_ $$ffischerc@itam.cas.cz 000014772 8564_ $$s84449$$uhttps://invenio.itam.cas.cz/record/14772/files/TS.FM15-4.01.pdf$$yOriginal version of the author's contribution as presented on CD, page 1536, code TS.FM15-4.01 . 000014772 962__ $$r13812 000014772 980__ $$aPAPER