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SUMMARY:A Baker Function for Laplacian Growth and Phase Transitions - Nath
 an Hayford (University of South Florida)
DTSTART:20190912T153000Z
DTEND:20190912T160000Z
UID:TALK129400@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Laplacian growth describes the evolution of an incompressible 
 fluid droplet with zero surface tension in 2D\, as fluid is pumped through
  a well into the droplet. A major obstacle in the theory of Laplacian grow
 th is the formation of finite-time singularities (cusps) that form on the 
 boundary of the fluid droplet. Although some work has been done with regar
 ds to continuation of the solution past this critical point\, most results
  are phenomenological in nature\, and a general theory is yet to be develo
 ped. Due to Laplacian growth&#39\;s realization as a dispersionless limit 
 of the 2D Toda Hierarchy\, we investigate certain scaling limits of this h
 ierarchy&#39\;s Baker function. We pose the question\, "what can the Baker
  function tell us about phase transitions in the droplet?"\, for particula
 r classes of initial domains.
LOCATION:Seminar Room 1\, Newton Institute
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