Presented by:
Yuri Antipov
Date:
Wednesday 27th November 2019 - 11:00 to 12:00
Venue:
INI Seminar Room 2
Abstract:
The general theory of the
Riemann-Hilbert problem for piece-wise holomorphic automorphic functions
generated by the Schottky symmetry groups is discussed. The theory is
illustrated by two inverse problems for multiply connected domains. The first
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 hydrofoils. Both 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 holomorphic automorphic functions.
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