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SUMMARY:Riemann-Hilbert problems of the theory of automorphic functions an
 d inverse problems of elasticity and cavitating flow  for multiply connect
 ed domains - Yuri Antipov (Louisiana State University)
DTSTART:20191127T110000Z
DTEND:20191127T120000Z
UID:TALK135247@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The general theory of the Riemann-Hilbert problem for piece-wi
 se holomorphic automorphic functions generated by the Schottky symmetry gr
 oups is discussed. &nbsp\;The theory is illustrated by two inverse problem
 s for multiply connected domains. The first one concerns the determination
  of the profiles on n inclusions in an elastic plane subjected to shear lo
 ading at infinity when the stress field in the inclusions is uniform. The 
 second problem is a model problem of cavitating flow past n hydrofoils. Bo
 th problems are solved by the method of conformal mappings. The maps from 
 n-connected circular domain into the physical domain are reconstructed by 
 solving two Riemann-Hilbert problems of the theory of piece-wise holomorph
 ic automorphic functions.<br><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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