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SUMMARY:Solitary wave fission in dispersive hydrodynamics - Gennady El (No
 rthumbria University)
DTSTART:20221205T100000Z
DTEND:20221205T103000Z
UID:TALK183743@talks.cam.ac.uk
DESCRIPTION:The temporal resolution of a large localised initial disturban
 ce into a sequence of solitary waves is the long-standing fluid mechanics 
 problem. We propose an extension of Whitham modulation theory to describe 
 the solitary wave fission process in a broad class of dispersive hydrodyna
 mic systems. &nbsp\;The developed theory predicts the relationship between
  the initial disturbance&rsquo\;s profile\, the number of emergent solitar
 y waves and their amplitude distribution\, quantifying an extension of the
  well-known soliton resolution conjecture from integrable systems to non-i
 ntegrable systems that often provide a more accurate modelling of physical
  processes. The main concrete example considered is the viscous fluid cond
 uit system. The theoretical predictions of the method are confirmed both n
 umerically and experimentally. This is joint work with Mark Hoefer's Dispe
 rsive Hydrodynamics group at the University of Colorado Boulder.
LOCATION:Seminar Room 1\, Newton Institute
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