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SUMMARY:Wave-Vortex Interactions\, Remote Recoil\, the Aharanov-Bohm Effec
 t and the Craik-Leibovich Equation - Prof Michael E McIntyre (DAMTP\, Univ
 ersity of Cambridge)
DTSTART:20171024T120000Z
DTEND:20171024T130000Z
UID:TALK93682@talks.cam.ac.uk
CONTACT:Dr. Yufeng Lin
DESCRIPTION:Four of the simplest examples of interaction between a\nsingle
  wavetrain and a single vortex are analysed\, with a focus\non effective r
 ecoil forces\, local and remote. All four examples\ncomply with the pseudo
 momentum rule. The first three examples are\ntwo-dimensional and non-rotat
 ing (shallow-water or gas dynamical)\,\nand the fourth is rotating\, with 
 deep-water waves\ninducing an Ursell-Hasselmann-Pollard `anti-Stokes flow'
 . The\nFroude or Mach number\, and the Rossby number in the fourth\nexampl
 e\, are assumed small.  Contrary to a recent suggestion\, the\nanti-Stokes
  flow does not suppress remote recoil. Remote recoil\nis all or part of th
 e interaction in all four examples\, except in\none special limiting case.
  That is the only case in which\,\nexceptionally\, the effective recoil fo
 rce can be regarded as\nentirely local\, and therefore identifiable with t
 he\nCraik-Leibovich vortex force. It is the case often focused on in\nthe 
 quantum fluids literature\, in connection with phonon-vortex\ninteractions
 . Another peculiarity of that case is that the only\nsignificant wave refr
 action effect is the Aharonov-Bohm topological\nphase jump. 
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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