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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Riemann-Hilbert problems of the theory of automorp
hic functions and inverse problems of elasticity a
nd cavitating flow for multiply connected domains
- Yuri Antipov (Louisiana State University)
DTSTART;TZID=Europe/London:20191127T110000
DTEND;TZID=Europe/London:20191127T120000
UID:TALK135247AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135247
DESCRIPTION:The general theory of the Riemann-Hilbert problem
for piece-wise holomorphic automorphic functions g
enerated by the Schottky symmetry groups is discus
sed. \;The theory is illustrated by two inver
se problems for multiply connected domains. The fi
rst one concerns the determination of the profiles
on n inclusions in an elastic plane subjected to
shear loading at infinity when the stress field in
the inclusions is uniform. The second problem is
a model problem of cavitating flow past n hydrofoi
ls. Both problems are solved by the method of conf
ormal mappings. The maps from n-connected circular
domain into the physical domain are reconstructed
by solving two Riemann-Hilbert problems of the th
eory of piece-wise holomorphic automorphic functio
ns.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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