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SUMMARY:E.A. Kuznetsov (P.N. Lebedev Physical Institute of RAS\, Moscow\, 
 Russia)
DTSTART:20230316T110000Z
DTEND:20230316T120000Z
DTSTAMP:20260423T005812Z
UID:mmandim/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mmandim/53/"
 >Folding in fluids</a>\nby E.A. Kuznetsov (P.N. Lebedev Physical Institute
  of RAS\, Moscow\, Russia) as part of Mathematical models and integration 
 methods\n\n\nAbstract\nThe formation of the coherent vortical structures i
 n the form of thin pancakes for three-dimensional flows is studied at the 
 high Reynolds regime when\, in the leading order\, the development of such
  structures can be  described within the Euler equations for ideal incompr
 essible fluids. Numerically and analytically on the base of the vortex lin
 e representation [1\, 2] we show that compression of such structures and r
 espectively increase of their amplitudes are possible due to the compressi
 bility of the vorticity in the 3D case [3]. It is demonstrated that this g
 rowth has an exponential behavior and can be considered as folding (analog
  of breaking) for the divergence-free fields of vorticity. At high amplitu
 des this process in 3D has a self-similar behavior connected the maximal v
 orticity and the pancake width by the relation of the universal type [4].\
 n\n[1] E.A. Kuznetsov\, V.P. Ruban\, Hamiltonian dynamics of vortex lines 
 for systems of the hydrodynamic type\, Pis’ma ZhETF \, 76\, 1015 (1998) 
 [JETP Letters\, 67\, 1076-1081 (1998)].\n\n[2] E.A. Kuznetsov\, Vortex lin
 e representation for flows of ideal and viscous fluids \, Pis’ma v ZHETF
 \, 76\, 406-410 (2002) [JETP Letters\, 76\, 346-350 (2002)].\n\n[3] D.S. A
 gafontsev\, E.A. Kuznetsov\, A.A. Mailybaev\, and E.V. Sereshchenko\, Comp
 ressible vortex structures and their role in the hydrodynamical turbulence
  onset\, UFN 192\, 205-225 (2022) [Physics Uspekhi\, 65 189 - 208 (2022)].
 \n\n[4] D.S. Agafontsev\, E.A. Kuznetsov and A.A. Mailybaev\, Development 
 of high vorticity structures and geometrical properties of the vortex line
  representation\, Phys. Fluids 30\, 095104-13 (2018)\; Stability of tangen
 tial discontinuity for the vortex pancakes\, Pisma ZHETF\, 114\, 67-71 (20
 21) [JETP Letters\, 2021\, 114\, 71–75 (2021)].\n
LOCATION:https://researchseminars.org/talk/mmandim/53/
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