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SUMMARY:Word representation of streamline topologies for structurally stab
 le vortex flows in multiply connected domains - Yokoyama \, T (Hokkaido Un
 iversity\, Japan)
DTSTART:20121009T103000Z
DTEND:20121009T113000Z
UID:TALK40649@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The instantaneous flow field of the inviscid and incompressibl
 e fluids in two-dimensional multiply connected exterior domains is describ
 ed by a Hamiltonian vector field whose Hamiltonian becomes the stream func
 tion\, which is the imaginary part of the complex potential. The flow is c
 haracterized topologically by the streamline pattern\, which consists of t
 he contour lines of the stream function. The present research provides us 
 with a new topological classification procedure of the structurally stable
  streamline patterns generated by many vortex points in the presence of th
 e uniform flow. The procedure allows us to assign a word representation to
  each structurally stable Hamiltonian vector field in the multiply connect
 ed domains. In the present talk\, I will explain how to assign the word to
  the structurally stable streamline patterns and show all the streamline p
 atterns in multiply connected domains of low genus with their word represe
 ntations.\n
LOCATION:Seminar Room 1\, Newton Institute
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