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SUMMARY:Impulse of vortex knots from diagram projections - Ricca\, RL (Uni
 versit degli Studi di Milano - Bicocca)
DTSTART:20120725T104500Z
DTEND:20120725T110500Z
UID:TALK39061@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:By using methods based on the analysis of standard plane proje
 ctions of complex tangles\, we can extract geometric information and use i
 t to determine the impulsive forces associated with vortex knots and links
 . This method relies on the interpretation of linear and angular momentum 
 of ideal vortex filaments in terms of projected areas [1]. An immediate ap
 plication of this method allows one to make predictive estimates of the ev
 olution and dynamical features of vortex knots and links [2]. This will be
  illustrated by a number of examples\, some related to well-known results 
 from laboratory and numerical experiments\, where vortex ring collisions a
 nd vortex linking have been studied\, and some others\, such as the produc
 tion of a trefoil vortex knot\, proposed as "thought" experiments [3].\n\n
 [1] Ricca\, R.L. (2008) Momenta of a vortex tangle by structural complexit
 y analysis. Physica D 237\,  2223-2227.\n\n[2] Ricca\, R.L. (2009) Structu
 ral complexity and dynamical systems. In Lectures on Topological Fluid Mec
 hanics (ed. R.L. Ricca)\, pp. 169-188. Springer-CIME Lecture Notes in Math
 ematics 1973. Springer-Verlag.\n\n[3] Ricca\, R.L. (2009) New developments
  in topological fluid mechanics. Nuovo Cimento C 32\, 185-192.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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